Abstract
Lattice gauge field theory was first developed by Wilson1 in Euclidean space-time to tackle the problem of quark confinement for the strong interaction. Independently, the equivalent Hamiltonian models were formulated by Kogut and Susskind.2 The lattice supplies an ultra-violet cut-off which regularizes the divergency often encountered in continuum field theory. One of the key advantages of lattice gauge theory clearly lies in the fact that the confining strong-coupling limit provides a natural basis from which one can apply such techniques as perturbation theory and other many-body theory approximations. The fact that the physical continuum limit is achieved in the weak-coupling limit provides a stringent test for any technique applied to lattice gauge theory.
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References
K.G. Wilson, Phys. Rev. D14:24–55(1974).
J. Kogut and L. Susskind, Phys. Rev. D11:395(1975).
K. Osterwalder and E. Seiler, Arm. Phys. (N.Y.) 110:440(1978).
C.J. Hamer, J. Oitmaa, and Zheng Weihong, Phys. Rev. D45:4652(1992).
A.C. Irving, J.F. Owens, and C.J. Hamer, Phys. Rev. D28:2059(1983).
G. Lana, Phys. Rev. D38:1954(1988).
D. Horn, G. Lana, and D. Schreiber, Phys. Rev. D36:3218(1987); C.J. Morningstar, ibid. D46:824(1992).
J.M. Aroca and H. Fort, Phys. Lett. B299:305(1993).
G. Bhanot and M. Creutz, Phys. Rev. D21:2892(1980); S.A. Chin, J.W. Negele, and S.E. Koonin, Ann. Phys. (N. Y.) 157:140(1984); T. Barnes and D. Kotchan, Phys. Rev. D35:1947(1987); C.M. Yung, C.R. Allton, and C.J. Hamer, Phys. Rev. D39:3778(1989); C.J. Hamer and M. Aydin, Phys. Rev. D43:4080(1991).
A. Dabringhaus, M.L. Ristig, and J.W. Clark, Phys. Rev. D43:1978(1991).
R.F. Bishop, A.S. Kendall, L.Y. Wong, and Y. Xian, Phys. Rev. D48:887(1993); R.F. Bishop and Y. Xian, Acta Phys. Pol. B24:541(1993).
C.H. Llewellyn Smith and N.J. Watson, Phys. Lett. B302:463(1993).
R.F. Bishop, J.B. Parkinson, and Y. Xian, Phys. Rev. B43:13782(1991); ibid. B44:9425(1991); ibid. B46:880(1992); J. Phys.: Conden. Matter 4:5783(1992).
R.F. Bishop, R.G. Hale, and Y. Xian, Phys. Rev. Lett. 73:3157(1994).
I. Montvay and G. Münster, “Quantum Fields on a Lattice,” Cambridge (1994).
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Bishop, R.F., Davidson, N.J., Xian, Y. (1995). A Nonperturbative Microscopic Theory of Hamiltonian Lattice Gauge Systems. In: Schachinger, E., Mitter, H., Sormann, H. (eds) Recent Progress in Many-Body Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1937-9_21
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DOI: https://doi.org/10.1007/978-1-4615-1937-9_21
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