Publications

1. M. Creutz, S.D. Drell and E. A. Paschos, "High-energy limit for the real part of forward Compton scattering," Phys. Rev. 178, 2300-1 (1969).

2. M. Creutz, "Inelastic electron scattering and the multi- Regge model," Phys. Rev. 187, 2093-95 (1969).

3. M. Creutz and M. B. Einhorn, "Hadron states of even charge conjugation from electron-positron annihilation," Phys. Rev. Lett. 24, 341-3 (1970).

4. M. Creutz and M. B. Einhorn, "Pion-pion scattering information from e- e+ ---> pi- pi+ gamma," Phys. Rev. D1, 2537-2546 (1970).

5. M. Creutz and R. Jaffe, "Noncausal dispersion relations and a fundamental length," Phys. Rev. D2, 2359-2362 (1970).

6. M. Creutz and S. Sen, "Equal-time commutators of the electromagnetic current and its time derivatives," Phys. Rev. D5, 1937-1945 (1972).

7. M. Creutz and S. Sen, "Remarks on the validity of the Cottingham formula for electromagnetic mass shifts," Phys. Rev. D4, 2984-2988 (1972).

8. M. Creutz, "Way to test causality in the rho-meson system," Phys. Rev. D5, 1139-1143 (1972).

9. M. Creutz, "Vanishing longitudinal cross sections and operator Schwinger terms," Phys. Rev. D5, 3269-3272 (1972).

10. M. Creutz, "Positivity, subtractions, and the moduli of scattering amplitudes," Phys. Rev. D6, 3533-3537 (1972).

11. M. Creutz, "Low-energy theorems and high-energy behavior," Phys. Rev. D6, 2483-2487 (1972).

12. M. Creutz, "Rigorous bounds on coupling constants in two- dimensional field theories," Phys. Rev. D6, 2763-2765 (1973).

13. M. Creutz, "Comment on `are there fixed
singularities in T_{1}?' ," Phys. Rev. D7, 1539-1540
(1973).

14. M. Creutz, F.E. Paige and L.-L. Wang, "Regge-cut discontinuities and elastic unitarity," Phys. Rev. Lett. 30, 343-345 (1973).

15. M. Creutz, F.E. Paige and P. Shen, "Pomeron cuts and inclusive reactions," Phys. Rev. D9, 684-696 (1974).

16. M. Creutz, "Quark bags and local field theory," Phys. Rev. D10, 1749-1752 (1974).

17. M. Creutz, "Higgs mechanism and quark confinement," Phys. Rev. D10, 2696-2698 (1974).

18. M. Creutz and L.-L. Wang, "Gell-mann Low equation and on- mass-shell amplitudes," Phys. Rev. D10, 3749-3753 (1974).

19. M. Creutz and K.S. Soh, "Quark bags and local field theory. II. Confinement of Fermi and vector fields," Phys. Rev. D12, 443-447 (1975).

20. M. Creutz, "Quantum mechanics of extended objects in relativistic field theory," Phys. Rev. D12, 3126-3144 (1975).

21. M. Creutz, "Quantum fluctuations and the bag model," Phys. Rev. D13, 3432-3439 (1976).

22. M. Creutz, "Extended objects," in
*Particles and Fields '76*, H. Gordon and R. F. Peierls,
eds. (Brookhaven National Lab., Upton, NY, 1977) pp. G41-G46.

23. M. Creutz, "Gauge fixing, the transfer matrix, and confinement on a lattice," Phys. Rev. D15, 1128-1136 (1977).

24. M. Creutz, "Feynman rules for lattice gauge theory," Rev. Mod. Phys. 50, 561-571 (1978).

25. M. Creutz and T.N. Tudron, "Topological tunneling and Goldstone gluons," Phys. Rev. D16, 2978-2990 (1977).

26. M. Creutz, R.M. Sternheimer, "On the convergence of iterated exponentiation," Fibonacci Quarterly, 18, 341-348 (1980).

27. M. Creutz and T.N. Tudron, "Higgs mechanism in the temporal gauge," Phys. Rev. D17, 2619-2623 (1978).

28. M. Creutz, "On invariant integration over SU(N)," J. Math. Phys. 19, 2043-2046 (1978).

29. M. Creutz, "Quantum electrodynamics in the temporal gauge," Ann. Phys. 117, 471-483 (1979).

30. M. Creutz, I.J. Muzinich and T.N. Tudron, "Gauge fixing and canonical quantization," Phys. Rev. D19, 531-539 (1979).

31. M. Creutz, L. Jacobs, C. Rebbi, "Experiments with a gauge invariant Ising system," Phys. Rev. Lett. 42, 1390-1393 (1979).

32. M. Creutz and R.M. Sternheimer, "On the convergence of iterated exponentiation - II," Fibonacci Quarterly 19, 326-336 (1981).

33. M. Creutz and R.M. Sternheimer, "On the convergence of iterated exponentiation - III," Fibonacci Quarterly 20, 7-12 (1982).

34. M. Creutz, "Confinement and the critical dimensionality of space-time," Phys. Rev. Lett. 43, 553-556 (1979); ERRATUM ibid. 43, 890 (1979).

35. M. Creutz, L. Jacobs, C. Rebbi, "Monte Carlo study of Abelian lattice gauge theories," Phys. Rev. D20, 1915-1922 (1979).

36. M. Creutz, "Phase diagrams for coupled spin-gauge systems," Phys. Rev. D21, 1006-1012 (1980).

37. M. Creutz, "Monte Carlo study of quantized SU(2) gauge theory," Phys. Rev. D21, 2308-2315 (1980).

38. G. Bhanot and M. Creutz, "Phase diagram of Z(N) and U(1) gauge theories in three dimensions," Phys. Rev. D21, 2892-2902 (1980).

39. M. Creutz, "Asymptotic freedom scales," Phys. Rev. Lett. 45, 313-316 (1980).

40. G. Bhanot and M. Creutz, "Ising gauge theory at negative temperatures and spin glasses," Phys. Rev. B22, 3370-3373 (1980).

41. M. Creutz, "Monte Carlo studies of
non-Abelian gauge theories,"
*Proceedings
of the Johns Hopkins Workshop on Current Problems in Particle Theory 4.
Bonn 1980*, (Johns Hopkins University, 1980) pp. 85-103. (QCD161, J55,
1980)

42. M. Creutz, "Confinement and lattice gauge theory," Physica Scripta 23, 973-977 (1981).

43. M. Creutz, "Quark confinement,"
*High Energy Physics - 1980*, L. Durand and L. Pondrom,
eds. (Amer. Inst. of Phys., Conf. Proc. No. 68, 1981)
pp. 296-301. (QCD161, H51, 1980).

44. M. Creutz and B.A. Freedman, "A statistical approach to quantum mechanics," Ann. Phys. 132, 427-462 (1981).

45. M. Creutz, "Monte Carlo study of renormalization in lattice gauge theory," Phys. Rev. D23, 1815-1823 (1981).

46. M. Creutz, "Numerical techniques for lattice gauge theories,"
in *Gauge Field Theories, Theoretical Studies and Computer
Simulations*, W. Garczynski, Ed. (Harwood, 1983).

47. M. Creutz, "Phase transition in SU(5) lattice gauge theory," Phys. Rev. Lett. 46, 1441-1443 (1981).

48. M. Creutz,
"Monte Carlo calculations in lattice gauge theory,"
*Perturbative
Quantum Chromodynamics (Tallahassee, 1981)* D.W. Duke and J.F. Owens,
eds. (Amer. Inst. of Phys., NY, 1981) pp. 459-465. (QCD161, C63, 1981).

49. G. Bhanot and M. Creutz, "Variant actions and phase structure in lattice gauge theory," Phys. Rev. D24, 3212-3217 (1981).

50. M. Creutz, "Roulette wheels and quark confinement," Comm. Nucl. Part. Phys. 10, 163-173 (1981).

51. M. Creutz and K.J.M. Moriarty, "Phase transition in SU(6) lattice gauge theory," Phys. Rev. D25, 1724-1726 (1982).

52. M. Creutz, "Phase transitions and variant
actions in lattice gauge theory," *Proceedings of the Brown
workshop on nonperturbative studies in quantum chromodynamics*,
(Brown University, 1981) pp. 1-12. (QCD161, W75, 1981)

53. M. Creutz and K.J.M. Moriarty, "Phase transitions in U(N) lattice gauge theory in four dimensions," Phys. Rev. D25, 610-613 (1982).

54. M. Creutz,
"Numerical studies of gauge field theories," *The
Unity of the Fundamental Interactions*, A. Zichichi, ed. (Plenum, NY,
1983) pp. 119-156. (QCD161, I65, 1981).

55. M. Creutz, "Monte Carlo studies of
quark-gluon dynamics," *Particles
and fields - 1981: Testing the standard model*, C.A. Heusch and W.T.
Kirk, eds. (Amer. Inst. of Phys., NY, 1982). (QCD161, A6, 1981)

56. M. Creutz, "Phase transitions and elementary
particle physics,"
*Melting,
Localization and Chaos*, R.K. Kalia and P. Vashista, eds., (North Holland,
NY, 1982).

57. R. C. Brower, M. Creutz and M. Nauenberg, "Finite size scaling and low mass glueballs," Nucl. Phys. B210, 133 (1982).

58. M. Creutz and K.J.M. Moriarty, "Monte Carlo studies of SU(N)/Z(N) lattice gauge theories in four-dimensions," Nucl. Phys. B210, 50-58 (1982).

59. M. Creutz and K.J.M. Moriarty, "Monte Carlo studies of Wilson loops in four-dimensional U(2) gauge theory," Nucl. Phys. B210, 59-68 (1982).

60. M. Creutz and K.J.M. Moriarty, "U(3) four-dimensional lattice gauge theory and Monte Carlo calculations," Nucl. Phys. B210, 377-387 (1982).

61. M. Creutz and K.J.M. Moriarty, "Numerical studies of Wilson loops in SU(3) gauge theory in four dimensions," Phys. Rev. D26, 2166-2168 (1982).

62. R.W.B. Ardill, M. Creutz and K.J.M. Moriarty, "Monte Carlo simulation of pure U(N) and SU(N) lattice gauge theories with fundamental and adjoint couplings," Comp. Phys. Commun. 29, 97 (1983).

63. M. Creutz and M. Okawa, "Generalized
actions in Z_{p} lattice
gauge theory," Nucl. Phys. B220, 149-166 (1983).

64. M. Creutz and L.E. Roberts, "Migdal-Kadanoff study of Z_{4} symmetric
systems with generalized action," Nucl. Phys. B215, 447-457
(1983).

65. D. Barkai, M. Creutz, and K.J.M. Moriarty, "Wilson loops for U(4) and SU(4) lattice gauge theories in four-dimensions," Nucl. Phys. B225, 156-168 (1983).

66. R.W.B. Ardill, M. Creutz and K.J.M. Moriarty, "Numerical studies of renormalization in SU(3) gauge theory in four- dimensions," Phys. Rev. D27, 1956-1959 (1983).

67. R.W.B. Ardill, M. Creutz and K.J.M. Moriarty, "The phase diagrams for SU(N)-SU(N)/Z_{N}, N =
3-8, gauge theories in four- dimensions," J. Phys. G10, 867-873
(1984).

68. M. Creutz, L. Jacobs and C. Rebbi, "Monte Carlo computations in lattice gauge theories," Phys. Rept. 95, 201-282 (1983).

69. M. Creutz, "The role of computers in high-energy physics," Phys. Today 36 (1983) No. 5, 35-42.

70. M. Creutz, "Microcanonical Monte Carlo simulation," Phys. Rev. Lett. 50, 1411-1414 (1983).

71. D. Barkai, M. Creutz, and K.J.M. Moriarty, "Renormalization-group study of four-dimensional SU(4) gauge theory," Phys. Lett. 128B, 86-90 (1983).

72. D. Barkai, M. Creutz, and K.J.M. Moriarty, "Wilson loop calculations in four-dimensional lattice gauge theory on the CDC- CYBER-205," Computer Phys. Comm. 30, 13-19 (1983) and in Padua Processors 1983, 101. (QCD201, T5, 1983).

73. M. Creutz, "Lattice gauge theories,"
*Workshop on non-perturbative
quantum chromodynamics*, K.A. Milton and M.A. Samuel, eds. (Birkhauser,
Boston, 1983) pp. 145-154. (QCD161, W75, 1983).

74. D. Barkai, M. Creutz, and K.J.M. Moriarty, "Monte Carlo studies of Wilson loops in SU(5) gauge theory in four-dimensions," Phys. Rev. D28, 2101-2103 (1983).

75. D. Barkai, M. Creutz, and K.J.M. Moriarty, "Numerical studies of Wilson loops in SU(6) gauge theory in four-dimensions," J. Phys. G9, L149-L152, 1983.

76. M. Creutz and K.J.M. Moriarty, "Implementation of the microcanonical Monte Carlo simulation algorithm for SU(N) lattice gauge theory calculations," Comput. Phys. Commun.30, 255-257 (1983).

77. M. Creutz and K.J.M. Moriarty, "U(N) and SU(N) lattice gauge theories, in the weak coupling region, in four-dimensions," J. Phys. G9, L207-L210 (1983).

78. D. Barkai, M. Creutz and K.J.M. Moriarty, "Monte Carlo study of SU(3) gauge theory on a
12^{4} lattice," Phys. Rev. D29, 1207-1212 (1984).

79. M. Creutz, "Progress in lattice gauge
theory,"
*Proc. of *IV
Adriatic Meeting of Particle Physics, Frontiers in Particle Physics '83,
Dj. Sijacki, N. Bilic, B. Dragovic and D. Popovic, eds., (World Scientific,
Singapore, 1984), pp. 1-25. (QCD161, A36, 1983).

80. M. Creutz and K.J.M. Moriarty, "Microcanonical Monte Carlo simulation of SU(3) gauge theory in four-dimensions," J. Phys. G10, L45-L49 (1984).

81. G. Bhanot, M. Creutz, and H. Neuberger, "Microcanonical simulation of Ising systems," Nucl. Phys. B235, 417-434 (1984).

82. M. Creutz,
"Monte Carlo simulation of the microcanonical ensemble,"
*Gauge Theory on a Lattice, 1984*, C. Zachos, W. Celmaster,
E. Kovacs and D. Sivers, eds., (Argonne Nat. Lab. CONF-8404119,
1984), pp. 1-11. (QCD161, W606, 1984)

83. M. Creutz, P. Mitra and K.J.M. Moriarty, "A fast algorithm for investigations on the three-dimensional Ising model," Comput. Phys. Commun. 33, 361-366 (1984).

84. M. Creutz, A. Gocksch, M. Ogilvie and M. Okawa, "Microcanonical renormalization group," Phys. Rev. Lett. 53, 875-877 (1984).

85. M. Creutz and D. Rohrlich, "SO(3) scale parameter," Phys. Rev. D30, 2678-2682 (1984).

86. M. Creutz, P. Mitra and K.J.M. Moriarty, "Computer investigations of the three-dimensional Ising model," J. Stat. Phys. 42, 823-832 (1986).

87. M. Creutz, "Lattice overview," *The
Santa Fe Meeting*, T. Goldman and M.M. Nieto, eds., (World
Scientific, 1985), pp. 297-301.

88. M. Creutz, "Deterministic Ising dynamics," Ann. Phys. 167, 62-72 (1986).

89. M. Creutz, "Reversible Ising
dynamics," *Advances in Lattice Gauge Theory*, D.W. Duke and
J.F. Owens, eds., (World Scientific, 1985) pp. 373-379.

90. M. Creutz, "Elementary particles - Lattice
gauge theory," *McGraw-Hill Yearbook of Science and Technology,
1987*, (McGraw-Hill, 1986) pp. 180-182.

91. M. Creutz, "Supercomputers and quantum field theory," Prog. Theor. Phys. Suppl. 85, 237-243 (1985).

92. M. Creutz and K.J.M. Moriarty, "FORTRAN code for the three-dimensional Ising model," Comput. Phys. Commun. 39, 173-180 (1986).

93. M. Creutz, "Microcanonical Monte Carlo,"
*Simulation at the Frontiers of Science*, J. Young, V.W. Ingalls
and R. Hawkins, eds., (Simulation Councils Inc., San Diego, 1986)
pp. 57-60.

94. M. Creutz and K.J.M. Moriarty, "Vectorization of the three-dimensional Ising model program on the CDC CYBER-205," Comp. Phys. Comm. 42, 191-196 (1986).

95. M. Creutz and R. Gavai, "Monte Carlo simulation of fermionic fields," Nucl. Phys. B280, 181-191 (1987).

96. M. Creutz, "Species doubling and transfer matrices for fermionic fields," Phys. Rev. D35, 1460-1467 (1987).

97. M. Creutz, "Overrelaxation and Monte Carlo simulation," Phys. Rev. D36, 515-519 (1987).

98. M. Creutz, "Monte Carlo algorithms for
lattice gauge theory" in *Lattice Gauge Theory Using Parallel
Processors*, Xiaoyuan Li, Zhaoming Qiu, and Hai-Cang Ren, eds.,
pps. 105-137 (Gordon and Breach, 1987).

99. M. Creutz, "Algorithmic
alternatives," in *Field Theory on the Lattice,* proceedings
of the International Symposium, Seillac, France, 1987, edited by
A. Billoire *et al.* (Nucl. Phys. B, Proc. Suppl. Vol. 4) (North
Holland, Amsterdam, 1988).

100. M. Creutz, "Global Monte Carlo algorithms for many-fermion systems," Phys. Rev. D38, 1228-1238 (1988).

101. M. Creutz, "Group theory and lattice
gauge fields," in *XVII International Colloquium on Group
Theoretical Methods in Physics*, edited by Y. Saint-Aubin and
L. Vinet (World Scientific, 1989).

102. M. Creutz, H. Gausterer, and S. Sanielevici, "Biased Monte Carlo algorithms on unitary groups," Phys. Rev. D39, 689-692 (1989).

103. M. Creutz, "Lattice gauge theories and
Monte Carlo algorithms," in *Proceedings of the XIV GIFT
International Seminar on Theoretical Physics*, Nucl. Phys. B
(Proc.Suppl.) 10A, 1-22 (1989).

104. M. Creutz, "Lattice gauge theory and Monte
Carlo methods," in *Gauge theories of fundamental
interactions,* M. Pawowski and R. Raçzka, eds., pp. 241-262
(World Scientific, 1990).

105. M. Creutz, "Lattice gauge theory," in
*The Encyclopedia of Physics,* R. Lerner and G. Trigg, eds.,
pps. 624-626, (VCH Publishers, Inc., 1990); revised for next edition
(2004).

106. M. Creutz and A. Gocksch, "Higher order hybrid Monte Carlo algorithms," Phys. Rev. Lett. 63, 9-12 (1989).

107. P. Bak, K. Chen, and M. Creutz, "Self-organized criticality in the `Game of Life'", Nature 342, 780 (1989).

108. M. Creutz, "Lattice fields and strong
interactions," in *The Nuclear Equation of State, Part B*,
W. Greiner and H. Stöcker, eds., pp. 1-16 (Plenum Press, NY,
1989).

109. M. Creutz, "Algorithms for simulating
fermions," chapter in *Quantum Fields on the Computer*,
M. Creutz ed., pp. 275-303 (World Scientific, Singapore, 1992).

110. M. Creutz, "Abelian Sandpiles," Computers in Physics, March/April 1991, pp. 198-203.

111. M. Creutz, "Lattice Status," AGS Users Newsletter Jan.-Mar., 12 (1991).

112. M. Creutz, "Abelian Sandpiles," Nucl. Phys. B (Proc. Suppl.) 20, 758-761 (1991).

113. M. Creutz and R. M. Sternheimer, "On the
Total Number N_{G}(N) of Goldbach Decompositions for a Given
Integer N, as a Function of N," J. Rec. Math. 24, 30-37 (1992).

114. M. Creutz, "State counting and low temperature series," Phys. Rev. B 43, 10659-10662 (1991).

115. M. Creutz and R.M. Sternheimer, "On the number of different bracketings for non-associative operations," J. Rec. Math. (in press).

116. P. Bak and M. Creutz, "Dynamics of sand," MRS Bulletin, June, 1991, p. 17-21 and cover picture.

117. M. Creutz, "Abelian sandpile model," International Sakharov Conference on Physics, 1st, Moscow, USSR, May 27-31, 1991.

118. V.G. Bornyakov, M. Creutz, and V.K. Mitrjushkin, "Modified Wilson action and Z_{2} artifacts
in SU(2) lattice gauge theory," Phys. Rev. D44, 3918-3923 (1991).

119. M. Creutz, "Counting world-lines," Phys. Rev. B45, 4650 (1992).

120. M. Creutz, "On self organized criticality," Nucl. Phys. B (Proc. Suppl.) 26, 252-256 (1992).

121. M. Creutz, "Microcanonical Cluster Monte Carlo," Phys. Rev. Lett. 69, 1002-1005 (1992), hep-lat/9204005.

122. G. Bhanot, M. Creutz and Jan Lacki, "Low temperature expansion for the Ising model," Phys. Rev. Lett. 69, 1841-1844 (1992). hep-lat/9206020.

123. P. Bak and M. Creutz, "Fractals and
self-organized criticality," *Fractals in science*, Armin
Bunde and Shlomo Havlin eds., pp. 26-47 (Springer-Verlag, 1994).

124. G. Bhanot, M. Creutz, U. Glässner, I. Horvath, J. Lacki, K. Schilling, and J. Weckel, "Low temperature expansions for Potts models," Phys. Rev. B48, 6183 (1993). hep-lat/9301017.

125. M. Creutz, "Self-organized criticality,"
*High Performance Computing and its Applications in the Physical
Sciences*, D. Browne, J. Callaway, J. Draayer, R. Haymaker,
R. Kalia, J. Tohline and P. Vashista, eds., pp 219-227 (World
Scientific, 1994).

126. G. Bhanot, M. Creutz, I. Horvath, J. Lacki, and J. Weckel, "Series expansions without diagrams," Phys. Rev. E49, 2445 (1994). hep-lat/9303002.

127. M. Creutz, "Lattice gauge theory - present status," Il Nuovo Cimento 107A, 2595-2602 (1994), paper presented at HADRON '93, Como, Italy, 21-25 June 1993. hep-lat/9309016.

128. M. Creutz and I. Horvath, "Surface modes and chiral symmetry (Wilson Fermions in a box)," Nucl. Phys. B (Proc. Suppl.) 34, 583-586 (1994). hep-lat/9312068.

129. M. Creutz, I. Horvath, and R. Mendris "The method of recursive counting: can one go further?" Nucl. Phys. B (Proc. Suppl.) 34, 799-801 (1994). hep-lat/9312072.

130. G. Bhanot, M. Creutz, U. Glässner, and K. Schilling, "Specific heat exponent for the 3-d Ising model from a 24-th order high temperature series," Phys. Rev. B49, 12909 (1994). hep-lat/9312048.

131. M. Creutz and I. Horvath, "Surface states and chiral symmetry on the lattice," Phys. Rev. D50, 2297 (1994). hep-lat/9402013.

132. M. Creutz, "Chiral symmetry and lattice
gauge theory," in *Quark confinement and the hadron
spectrum,* N. Brambilla and G.M. Prosperi, eds, pp. 3-13 (World
Scientific, Singapore 1995). hep-lat/9410008.

133. M. Creutz, "Chiral symmetry on the lattice," Nucl. Phys. B (Proc. Suppl.) 42, 56-66 (1995). hep-lat/9411033.

134. U. Glassner, G. Bhanot, M. Creutz, and K. Schilling, "24-th order high temperature expansion for the 3-d Ising model," Nucl. Phys. B (Proc. Suppl.) 42, 758-760 (1995).

135. M. Creutz, "How computational physics is uniting science and revolutionizing society," editorial comment in Computers in Physics, Vol. 9, No. 3 May/June 1995, p. 247.

136. M. Creutz, "Quark masses and chiral symmetry," Phys. Rev. D52, 2951 (1995). hep-th/9505112.

137. M. Creutz, "Xtoys: cellular automata on xwindows," Nucl. Phys. B (Proc. Suppl.) 47, 846-849 (1996). hep-lat/9508029.

138. M. Creutz and M. Tytgat, "Species doubling and chiral Lagrangians," Phys. Rev. Letters 76, 4671 (1996). hep-ph/9605322.

139. M. Creutz and M. Tytgat, "Species doubling and effective Lagrangians," Nucl. Phys. B (Proc. Suppl.) 53, 651-654 (1997). hep-lat/9608007.

140. M. Creutz, "Quark masses, chiral symmetry,
and the U(1) anomaly," in *Quark confinement and the hadron
spectrum II*, N. Brambilla and G. Prosperi, eds., pp. 138-149,
(World Scientific, 1997). hep-ph/9608216.

141. M. Creutz, "Wilson Fermions at finite
temperature," in *RHIC Summer Study '96: Theory workshop on
relativistic heavy ion collisions*, D. Kahana and Y. Pang, eds.,
pp. 49-54 (NTIS, 1997). hep-lat/9608024.

142. M. Creutz, "Cellular automata and self
organized criticality,"
chapter in *Some new directions in science on computers,*
G. Bhanot, S. Chen, and P. Seiden, eds. pp. 147-169 (World Scientific,
Singapore, 1997).
hep-lat/9611017.

143. M. Creutz, "Self-organized
criticality,"
in *Multiscale phenomena and their simulation*, B. Monien,
F. Karsch, and H. Satz, eds., pp. 49-58, (World Scientific,
1997). Reprinted in "ZiF: 96/97," the annual report of the Center for
Interdisciplinary Research of the University of Bielefeld, pp 65-75
(1998).
hep-lat/9611018.

144. M. Creutz, M. Tytgat, C. Rebbi, S.-S.Xue, "Lattice Formulation of the Standard Model," Physics Letters B402, 341-345 (1997). hep-lat/9612017.

145. M. Creutz, "Is the doubler of the electron an antiquark?" Nuclear Physics B (Proc.Suppl.) 63A-C, 599 (1998). hep-lat/9708020.

146. M. Creutz, "Phase Transitions," lectures presented at RHIC '97. hep-lat/9708021.

147. M. Creutz, "The standard model and the
lattice"
in *Nonperturbative methods in quantum field theory*,
A. Schreiber, A. Williams and A. Thomas, eds., pp.~3-14 (World
Scientific, 1998).
hep-lat/9804021.

148. M. Creutz, "Evaluating Grassmann integrals" Phys. Rev. Letters 81, 3555 (1998). hep-lat/9806037.

149. M. Creutz, "Grassmann integrals by machine" Nucl. Phys. B (Proc. Suppl.) 73, 819-821 (1999). hep-lat/9809024

150. M. Creutz, "Computers and the particle theorist" in "Computing in Science & Engineering" pp. 14-15 (July/August 1999).

151. M. Creutz, "End states, ladder compounds, and domain wall fermions," Phys. Rev. Letters 83, 2636-2639 (1999). hep-lat/9902028

152. M. Creutz, "Lattice fields and extra dimensions," Computer Physics Communications 127, 37-42 (2000). hep-lat/9904005.

153. M. Creutz, "Transfer matrices and lattice fermions at finite density," Foundations of Physics 30, 487-492 (2000). hep-lat/9905024.

154. M. Creutz, "Message passing on the QCDSP supercomputer," Nucl. Phys. B (Proc. Suppl.) 83-84, 792-794 (2000). hep-lat/9908024.

155. M. Creutz, "Remarks on domain-wall Fermions," in "Lattice Fermions and structure of the vacuum," V. Mitrjushkin and G. Schierholz, eds., pp. 1-9 (Kluwer, 2000). hep-lat/9912006.

156. M. Creutz, "Aspects of chiral symmetry and the lattice," Rev. Mod. Phys. 73, 119-150 (2001). hep-lat/0007032.

157. M. Creutz, "Lattice gauge theory: a retrospective," Nucl.Phys.Proc.Suppl. 94, 219-226 (2001). hep-lat/0010047.

158. M. Creutz, "Chiral symmetry versus the lattice," in "Computer simulations studies in condensed matter physics XIV," Springer Proceedings in Physics 89, 169-181, (2001), hep-lat/0103001.

159. M. Creutz, I. Horvath, and H. Neuberger, "A new fermion Hamiltonian for lattice gauge theory," Nucl. Phys. Proc. Suppl. 106:760-762, 2002, hep-lat/0110009.

160. M. Creutz, "Transiting topological sectors with the overlap," Nucl. Phys. Proc. Suppl. 119:837-839, 2003, hep-lat/0208026.

161. M. Creutz, "Direct simulations of small multi-fermion systems" , I. J. of Modern Physics C, 14, 1027-1040 (2003), hep-lat/0212034.

162. M. Creutz, "The early days of lattice gauge theory" in "The Monte Carlo method in the Physical Sciences," AIP Conf. Proc. 690, 52-60 (2003). hep-lat/030602.

163. M. Creutz, "Spontaneous violation of CP symmetry in the strong interactions," Phys. Rev. Lett. 92, 201601 (2004). hep-th/0312018 .

164. M. Creutz, "Ambiguities in the up quark mass," Phys. Rev. Lett. 92, 162003 (2004). hep-ph/0312225 .

165. M. Creutz, "Simulating quarks," Computers in Science & Engineering, March/April 2004, p. 80 (IEEE CS and AIP, 2004).

166. M. Creutz, "Playing with sandpiles," Physica A 340, 521-526 (2004), Per Bak memorial volume, cond-mat/0401302.

167. M. Creutz, "Yang-Mills fields and the lattice" In 't Hooft, G. (ed.): 50 years of Yang-Mills theory* 357-376 (World Scientific, 2004). hep-lat/0406007.

168. M. Creutz, "Are magnetic monopoles hadrons?" , Nucl. Phys. Proc. Suppl. 140:597-599, 2005. hep-lat/0406007.

169. M. Creutz, "Positivity and topology in lattice gauge theory," Phys. Rev. D 70, 091501(R) (2004). hep-lat/0409017.

170. M. Creutz, "Spontaneous CP violation and quark mass ambiguities," AIP Conf. Proc. 756:143-151, 2005, hep-lat/0410043.

171. M. Creutz, "The invariant measure for SU(N)," AIP Conf. Proc. 756:466, 2005.

172. M. Creutz, "Isospin breaking and the chiral condensate," PoS(LAT2005)119, hep-lat/0508012.

173. M. Creutz, "Hidden symmetries in two dimensional field theory" , Ann. Phys. 321 , 2782-2792 (2006) , hep-th/0508116.

174. M. Creutz, "Fun with Dirac eigenvalues," Contributed to Sense of Beauty in Physics: Miniconference in Honor of Adriano Di Giacomo on his 70th Birthday, Pisa, Italy, 26-27 Jan 2006, hep-lat/0511052.

175. M. Creutz, "Diseases with rooted staggered quarks," PoS(LAT2006)208, hep-lat/0608020.

176. M. Creutz "One flavor QCD", , Annals of Physics, 322, 1518-1540 (2007) , hep-th/0609187.

177. M. Creutz "So you want to be a lattice theorist?" AIP Conf. Proc. 892: xix-xxiv, hep-lat/0610067.

178. M. Creutz, "Chiral anomalies and rooted staggered fermions", Physics Letters B 649 (2007) 230-234 , hep-lat/0701018.

179. M. Creutz "Reply to: 'Comment on: 'Chiral anomalies and rooted staggered fermions''", Physics Letters B 649 (2007) 241-242, arXiv:0704.2016 [hep-lat].

180. M. Creutz "Self-organized criticality and
cellular automata," to appear in the *Springer Encyclopedia of
Complexity and Systems Science.*

181. M. Creutz "Effective potentials, thermodynamics, and twisted mass quarks" , Phys. Rev. D 76, 054501 (2007), arXiv:0706.1207 [hep-lat].

182. M. Creutz, "Why rooting fails", PoS(LAT2007)007, arXiv:0708.1295 [hep-lat].

183. M. Creutz "The 't Hooft vertex revisited", Annals of Physics, 323, 2349-2365 (2008), arXiv:0711.2640[hep-th].

184. M. Creutz "Four-dimensional graphene and chiral fermions", JHEP0804(2008)017, arXiv:0712.1201[hep-lat].

185. M. Creutz "Comment on ' 't Hooft vertices, partial quenching, and rooted staggered QCD' " , Phys. Rev. D78:078501 (2008), arXiv:0805.1350[hep-lat].

186. M. Creutz "Local chiral fermions" , PoS(LATTICE 2008)080 (2008), arXiv:0808.0014[hep-lat].

187. M. Creutz "Comments on staggered fermions / Panel discussion", published in PoS CONFINEMENT8:016 (2008), arXiv:0810.4526[hep-lat].

188. M. Creutz "Anomalies and chiral symmetry in QCD", Annals of Physics 324 (2009), pp. 1573-1584, arXiv:0901.0150[hep-ph].

189. M. Creutz "Anomalies and discrete chiral symmetries", PoS QCD-TNT09:008 (2009), arXiv:0909.5101.

190. Stefano Capitani, Michael Creutz, Johannes Weber, and Hartmut Wittig, Renormalization of minimally doubled fermions, JHEP09(2010)027, arXiv:1006.2009[hep-lat] (2010).

191. Michael Creutz and Tatsuhiro Misumi, Classification of Minimally Doubled Fermions , Phys. Rev. D82:074502, 2010 , arXiv:1007.3328[hep-lat] (2010).

192. Michael Creutz, Anomalies, gauge field topology, and the lattice , Annals of Physics 326 (2011), pp. 911-925 , arXiv:1007.5502[hep-lat] (2010).

193. Michael Creutz Minimal doubling and point splitting, PoS(Lattice 2010)078, arXiv:1009.3154[hep-lat] (2010).

194. Stefano Capitani, Michael Creutz, Johannes Weber, Hartmut Wittig Minimally doubled fermions and their renormalization , PoS(Lattice 2010)093 arXiv:1010.0110[hep-lat] (2010).

195. Tatsuhiro Misumi, Michael Creutz, and Taro Kimura, Classification and generalization of minimally-doubling actions , PoS(Lattice 2010)260, arXiv:1010.3713[hep-lat] (2010).

196. Michael Creutz, Taro Kimura, and Tatsuhiro Misumi, Index Theorem and Overlap Formalism with Naive and Minimally Doubled Fermions , JHEP 1012 (2010) 041, arXiv:1011.0761[hep-lat] (2010).

197. Michael Creutz, Quark masses and strong CP violation , poster contribution to the conference "Quark confinement and the hadron spectrum IX," August 30 - September 10, 2010 arXiv:1011.0908[hep-lat] (2010).

198. Michael Creutz, Quark mass dependence of two-flavor QCD, Phys. Rev. D 83, 016005 (2011), arXiv:1010.4467.

199. Michael Creutz, Taro Kimura, and Tatsuhiro Misumi, Aoki Phases in the Lattice Gross-Neveu Model with Flavored Mass terms, Phys.Rev. D83 (2011) 094506, arXiv:1101.4239.

200. Michael Creutz, Confinement, chiral symmetry, and the lattice , Acta Physica Slovaca 61, No.1, 1-127 (2011), arXiv:1103.3304.

201. Tatsuhiro Misumi, Michael Creutz, Taro Kimura, Takashi Z. Nakano, Akira Ohnishi, Aoki Phases in Staggered-Wilson Fermions , PoS(Lattice 2011)108 , Contribution to Lattice2011, July 10-16, 2011, Squaw Valley, California, USA, arXiv:1110.1231.

202. Taro Kimura, Michael Creutz, Tatsuhiro Misumi, Index Theorem and Overlap Formalism with Naive and Minimally Doubled Fermions, , PoS(Lattice 2011)106 , Contribution to Lattice2011, July 10-16, 2011, Squaw Valley, California, USA, arXiv:1110.2482.

203. Michael Creutz, Quark masses in two-flavor QCD, PoS(QCD-TNT-II)012 , Contribution to the International Workshop on QCD Green's Functions, Confinement and Phenomenology II, 5-9 September 2011, Trento, Italy, arXiv:1110.4074.

204. Michael Creutz, Quark masses, the Dashen phase, and gauge field topology , Annals of Physics 339 (2013) 560-569, arXiv:1306.1245 [hep-lat].

205. Michael Creutz, Emergent spin, Annals Phys. 342 (2014) 21-30, arXiv:1308.3672 [hep-lat].

206. Michael Creutz, Chiral symmetry and lattice fermions , PoS QCD-TNT-III (2014) 009, Contribution to International Workshop on QCD Green's Functions, Confinement and Phenomenology III, 2-6 September 2013, Trento, Italy arXiv:1309.6288 [hep-lat].

207. Sinya Aoki and Michael Creutz, Pion masses in two flavor QCD with eta condensation , Phys.Rev.Lett. 112 (2014) 141603, arXiv:1402.1837 [hep-lat].

208. Michael Creutz, Partial quenching and chiral symmetry breaking, contribution to Lattice 2014, arXiv:1410.0883 [hep-lat].

209. Sinya Aoki and Michael Creutz, Pion masses in 2-flavor QCD with eta condensation, contribution to Lattice 2014. arXiv:1504.01454 [hep-lat].

210. Michael Creutz, Gauge field topology and the hadron spectrum, Contribution to Quark Confinement and the Hadron Spectrum XI, 8-12 September 2014, Saint-Petersburg State University, Russia. arXiv:1411.1716 [hep-lat].

211. Michael Creutz, The lattice and quantized Yang-Mills theory, Contribution to the Conference on 60 Years of Yang-Mills Gauge Field Theories, Singapore, 25-28 May 2015. arXiv:1510.02059 [hep-lat].

212. Michael Creutz, SU(3) breaking and the pseudo-scalar spectrum in multi-taste QCD, contribution to Lattice 2017, arXiv:1707.08597 [hep-lat].

213. Michael Creutz, CP violation in QCD, , contribution to XIII Quark Confinement and the Hadron Spectrum - Confinement 2018, arXiv:1707.08597 [hep-lat].

214.
Michael Creutz,
When time goes sideways,
, Essay written for the Gravity
Research Foundation
2019 Awards for Essays on Gravitation.

**Books**

*Quarks, Gluons, and Lattices*, M. Creutz (Cambridge Univ. Press,
1983).

*Lattice Higgs Workshop*, B. Berg, G. Bhanot, M. Burbank, M. Creutz,
J. Owens, Eds. (World Scientific, 1988).

*Quantum Fields on the Computer*, M. Creutz, ed., (World Scientific,
1992).

* From Quarks to Pions : Chiral Symmetry and Confinement*,
Michael Creutz, (World Scientific, 2018), DOI: 10.1142/10688.

1. M. Creutz, "Blittersand," on disk 387 of the Fred Fish publicly distributable Amiga software library.

2. M. Creutz, "Automalab," JUMPDISK, (March 1991).

3. M. Creutz, "Sandpiles," JUMPDISK (July 1993).

4. M. Creutz, "Fires," JUMPDISK (Dec. 1993).

5. M. Creutz, "Ising Magnet," JUMPDISK (Dec. 1993).

6. M. Creutz "Xtoys," a collection of simulations for Xwindows, including:

xising, for the two dimensional Ising model. xsand, for the Bak, Tank, Weisenfeld sandpile model. xpotts, for the two dimensional Potts model. xautomalab, for totalistic cellular automata. xfires, a simple forest fire model for self-organized criticality. xwaves, for demonstrating several wave equations. schrodinger, simulation of the Schrodinger equation.The most recent version of these programs is kept on the World Wide Web at

http://thy.phy.bnl.gov/www/xtoys/xtoys.html

1. Report of the panel on Large Scale Computing in Science and Engineering, P. Lax, Chairman (1982).

2. Report of the subpanel on Theoretical Computing of the High Energy Physics Advisory Panel, C. Quigg, Chairman, (1984). (DOE/ER-0205)

3. Computing for Particle Physics, Report of the HEPAP Subpanel on Computer Needs for the Next Decade, J. Ballam, Chairman (1985). (DOE/ER-0234)

4. Report of the 1985 High Energy Physics Advisory Panel Study of the U.S. High Energy Physics Program 1985-1995, J. Sandweiss, Chairman (1985). (DOE/ER-0233)

5. NSF Report of the Workshop on: Synergistic Neuroscience and Mathematice/Physics/Engineering Approaches for Understanding Information Processing in Biological and Artificial Intellegent Systems, (1996), M. Arbib and J. Hopfield, co-chairs. Also available here.

6. Fundamental parameters from future lattice calculations, Lattice QCD Executive Committee R. Brower, (Boston U.) N. Christ (Columbia U.), M. Creutz (BNL), P. Mackenzie (Fermilab), J. Negele (MIT), C. Rebbi (Boston U.), D. Richards (JLab), S. Sharpe (U. Washington), and R. Sugar (UCSB).

7. Nuclear Physics from Lattice QCD: The Spectrum, Structure and Interactions of Hadrons, Lattice QCD Executive Committee R. Brower, (Boston U.) N. Christ (Columbia U.), M. Creutz (BNL), P. Mackenzie (Fermilab), J. Negele (MIT), C. Rebbi (Boston U.), D. Richards (JLab), S. Sharpe (U. Washington), and R. Sugar (UCSB).

8. Opportunities for Lattice QCD Thermodynamics, Lattice QCD Executive Committee R. Brower, (Boston U.) N. Christ (Columbia U.), M. Creutz (BNL), P. Mackenzie (Fermilab), J. Negele (MIT), C. Rebbi (Boston U.), D. Richards (JLab), S. Sharpe (U. Washington), and R. Sugar (UCSB).

9. Lattice Gauge Theory for Physics beyond the Standard Model, Lattice QCD Executive Committee R. Brower, (Boston U.) N. Christ (Columbia U.), M. Creutz (BNL), P. Mackenzie (Fermilab), J. Negele (MIT), C. Rebbi (Boston U.), D. Richards (JLab), S. Sharpe (U. Washington), and R. Sugar (UCSB).

**Unpublished Reports**

1. M. Creutz, "The ISABELLE e-p option," ISA 76-17 (1976).

2. M. Creutz and R.M. Sternheimer, "On a class of non-associative functions of a single positive real variable," BNL- 23308 (1977).

3. R.W.P. Ardill, M. Creutz, K.J.M. Moriarty and S. Samuel, "Lines of constant physics for SU(3) lattice gauge theory in four-dimensions," BNL-35081 (1984).

4. M. Creutz and E. Creutz, "Nonrecursive expressions for Fibonacci and related series," BNL-45833 (1991).

5. M. Creutz, "CP symmetry and the strong interactions," (2003, unpublished) hep-th/0303254 .

6. M. Creutz, "Flavor extrapolations and staggered fermions," (2006, unpublished), hep-lat/0603020.

7. M. Creutz, "The saga of rooted staggered quarks" (2008, unpublished), arXiv:0804.4307 [hep-lat].

8. Michael Creutz, "My encounters with Feynman," 2019, contribution to the expposition "All Possible Paths: Richard Feynman's Curious Life"

9. Michael Creutz, " "When time goes sideways," contribution to the 2019 Gravity Research Foundation essay contest.

10. Michael Creutz, "Four metrics," contribution to the 2020 Gravity Research Foundation essay contest.