Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry

Details Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry

1999-08-05

arxiv.org/abs/hep-th/9908042v1

Prog.Theor.Phys. 102 (1999) 1151-1162

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 7 epsf figures

Scientific paper

10.1143/PTP.102.1151

The critical dynamics of the chiral symmetry breaking induced by gauge interaction is examined in the Wilson renormalization group framework in comparison with the Schwinger-Dyson approach. We derive the beta functions for the four-fermi couplings in the sharp cutoff renormalzation group scheme, from which the critical couplings and the anomalous dimensions of the fermion composite operators near criticality are immediately obtained. It is also shown that the beta functions lead to the same critical behavior found by solving the so-called ladder Schwinger-Dyson equation, if we restrict the radiative corrections to a certain limited type.

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