Non-perturbative Renormalization Group Approach to Dynamical Chiral Symmetry Breaking in Gauge Theories
Abstract
Description
We analyze the dynamical chiral symmetry breaking in gauge theories solely by the non-perturbative renormalization group, without recourse to the Schwinger-Dyson method. First, we briefly review the basic notions and formulation, and clarify its great feature that it gives a systematic approximation scheme without any divergent series nor serious gauge dependence, compared to other perturbative and non-perturbative methods. Then we apply this new method to QED and QCD to find that our lowest level approximation improves the ladder Schwinger-Dyson equation results in a gauge independent way. We get the chiral phase structures and the critical exponents in the fixed gauge coupling analysis, and also calculate the chiral condensates in case of running QCD.
15 pages, LaTeX using sprocl.sty, 16 postscript figures, to be published in the Proceedings of International Workshop on Perspectives of Strong Coupling Gauge Theories (SCGT96), Nagoya, 1996
15 pages, LaTeX using sprocl.sty, 16 postscript figures, to be published in the Proceedings of International Workshop on Perspectives of Strong Coupling Gauge Theories (SCGT96), Nagoya, 1996