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Feynman rules for lattice gauge theory
Rev. Mod. Phys. 50, 561 – Published 1 July, 1978
DOI: https://doi.org/10.1103/RevModPhys.50.561
Abstract
We use functional techniques to give a simple derivation of Wilson's Feynman rules for strongly coupled gauge theory formulated on a lattice. Coupling sources to the various degrees of freedom, we obtain a compact formal expression for the Green's functions of the theory. The theory is rewritten in terms of creation and annihilation operators for quarks and "string bits" in a new space called "string space." This formulation emphasizes the close analogy with a lattice version of the string model. We also give a systematic diagrammatic procedure to evaluate all group integrations arising in the strong coupling expansion.
References (27)
- Appelquist, T., J. Carazzone, H. Kluberg-Stern, and M. Roth, 1976, Phys. Rev. Lett. 36, 768 and 1161(E)
- Balian, R., J. M. Drouffe, and C. Itzykson, 1974, Phys. Rev. D 10, 3376
- Balian, R., J. M. Drouffe, and C. Itzykson, 1975a, Phys. Rev. D 11, 2098
- Balian, R., J. M. Drouffe, and C. Itzykson, 1975b, Phys. Rev. D 11, 2104
- Banks, T., S. Raby, L. Susskind, J. Kogut, D. R. T. Jones, P. N. Scharbach, and D. K. Sinclair, 1977, Phys. Rev. D 15, 1111
- Bars, I., 1976, Phys. Rev. Lett. 36, 1521
- Belavin, A. A., A. M. Polyakov, A. S. Schwartz, and Y. S. Tyupkin, 1975, Phys. Lett B 59, 85
- Chodos, A., and J. B. Healy, 1977, Phys. Rev. D 16, 387
- Coleman, S., and E. Weinberg, 1973, Phys. Rev. D 7, 1888
- Creutz, M., 1975, Phys. Rev. D 12, 3126
- Creutz, M., 1977, Phys. Rev. D 15, 1128
- Drell, S. D., M. Weinstein, and S. Yankielowicz, 1976, Phys. Rev. D 14, 1627
- Kadanoff, L. P., 1976, Ann. Phys. (N.Y.) 100, 359
- Kadanoff, L. P., 1977, Rev. Mod. Phys. 49, 267
- Kogut, J. and L. Susskind, 1975, Phys. Rev. D 11, 395
- Luscher, M. 1976, DESY preprint 76/54
- Mandelstam S., 1962, Ann. Phys. (N.Y) 19, 1
- Migdal, A. A., 1975a, Sov. Phys.-JETP 42, 413
- Migdal, A. A., 1975b, Sov. Phys.-JETP 42, 743
- Politzer, H. D., 1974, Phys. Rep. C 14, 129
- Susskind, L., 1977, Phys. Rev. D 16, 3031
- t'Hooft, G., 1974, Nucl. Phys. B 72, 461
- Wilson, K., 1974, Phys. Rev. D 10, 2445
- Wilson, K., 1977a in New Phenomena in Subnuclear Physics, edited by A. Zichichi (Plenum Press, New York)
- Wilson, K. G., 1977b in New Developments in Quantum Field Theory and Statistical Mechanics: Cargèse 1976, edited by M. Levy and P. Mitter (Plenum Press, New York)
- Yang, C. N., 1975, Phys. Rev. Lett. 33, 445
- Yao, Y. P., 1976, Phys. Rev. Lett. 36, 653