Renormalization Group Analysis of Lattice Theories and Improved Lattice Action. II -- four-dimensional non-abelian SU(N) gauge model

TL;DR

This paper introduces a new renormalization group transformation for SU(N) gauge models, deriving improved lattice actions and analyzing their scaling behavior near fixed points, with explicit calculations of Wilson loops.

Contribution

It proposes a novel block spin RG transformation for non-abelian gauge theories and derives an improved lattice action with criteria for physical scaling behavior.

Findings

Explicit expectation values of Wilson loops near the fixed point.

Derivation of an improved lattice action.

Criteria for the scaling behavior of physical quantities.

Abstract

A new block spin renormalization group transformation for SU(N) gauge models is proposed near the non-trivial fixed point in perturbation theory and thereby the expectation values of various Wilson loops on the renormalized trajectory near the fixed point are explicitly obtained. An improved action is obtained as in a preceding paper and a criterion for the scaling behavior of physical quantities is also given.