Abstract
We present a progress report in lattice gauge theory computer simulations which includes the effects of light, dynamical fermions. Microcanonical and hybrid microcanonical-Langevin alogrithms are presented and discussed. A method for “accelerating” stochastic differential equations and defeating critical slowing down is reviewed. Physics applications such as the thermodynamics of quantum chromodynamics, hierarchal energy scales in unified gauge theories, and the phase diagram of theories with many fermion species are discussed. Prospects for future research are assessed.
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References
K. G. Wilson,Phys. Rev. D 14:2455 (1974).
J. B. Kogut and L. Susskind,Phys. Rev. D 9:3501 (1974);Phys. Rev. D11:395 (1975). L. Susskind,Phys. Rev. D16:3031 (1977).
D. Weingarten and S. Petcher,Phys. Lett. B 99:33 (1981); F. Fucito, E. Marinari, G. Parisi, and G. Rebbi,Nucl. Phys. B 180[FS2]:369 (1981).
D. Callaway and A. Rahman,Phys. Rev. Lett. 49:613 (1982).
J. Polonyi and H. W. Wyld,Phys. Rev. Lett. 51:2257 (1983); J. Polonyi, H. W. Wyld, J. B. Kogut, J. Shigemitsu, and D. K. Sinclair,Phss. Rev. Lett. 53:644 (1984).
A. Guha and S.-C. Lee,Phys. Rev. D 27:2412 (1983); A. Ukawa and M. Fukugita,Phys. Rev. Lett. 55:1854 (1985).
J. Kogut, J. Polonyi, J. Shigemitsu, D. K. Sinclair, and H. W. Wyld,Nucl. Phys. B 251 [F S13]:311 (1985).
M. Creutz,Phys. Rev. Lett. 50:411 (1983).
S. Nosé,Molec. Phys. 52:255 (1984); J. Kogut and D. K. Sinclair, preprint (University of Illinois, Oct., 1985).
R. W. Hall and B. J. Berne,J. Chem. Phys. 81:3641 (1984).
S. Duane,Nucl. Phys. B 257[FS14]:652 (1985).
G. Batrouni et al., preprint (Cornell, CLNS-85(65), May 1985); G. Parisi, Les Houches Summer School, 1982.
S. Duane and J. B. Kogut, preprint (University of Illinois, October, 1985).
S. Raby, S. Dimopoulos, and L. Susskind,Nucl. Phys. B 169:373 (1980).
J. Kogut, J. Polonyi, D. K. Sinclair, and H. W. Wyld,Phys. Rev. Lett. 54:1980 (1985).
J. Banks and A. Zaks,Nucl. Phys. B 196:189 (1982).
F. Fucito, S. Solomon, and H. Hamber,Phys. Lett. B 150:285 (1985); J. Kogut, J. Polonyi, D. K. Sinclair, and H. W. Wyld,Phys. Rev. Lett. 54:1475 (1985).
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Kogut, J.B. Progress and bottlenecks in simulating lattice gauge theory with fermions. J Stat Phys 43, 771–795 (1986). https://doi.org/10.1007/BF02628304
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DOI: https://doi.org/10.1007/BF02628304