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

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.

This article, which was not published, was written in December 1983. It proposed an improved gauge action, which has be used in numerical simulations of lattice gauge theories. It is posted for the convenience of referencing. It is the same as was in 1983, a few typographical errors being corrected. 20 pages, 5 figures