Feynman rules for lattice gauge theory

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.