Feynman rules for lattice gauge theory

Michael Creutz
Rev. Mod. Phys. 50, 561 – Published 1 July 1978
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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.

    DOI:https://doi.org/10.1103/RevModPhys.50.561

    ©1978 American Physical Society

    Authors & Affiliations

    Michael Creutz

    • Brookhaven National Laboratory, Upton, NY 11973

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    Issue

    Vol. 50, Iss. 3 — July - September 1978

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