Weak solution method of the non-perturbative renormalization group equation to describe dynamical chiral symmetry breaking and its application to beyond the ladder analysis in QCD

摘要

The method of non-perturbative renormalization group (NPRG) is applied to theanalysis of dynamical chiral symmetry breaking (DCSB) in QCD. We show that theDCSB solution of the NPRG flow equation can be obtained without thebosonization. The solution, having the singular point, can be authorized as theweak solution of partial differential equation, and can be easily evaluatedusing the method of the characteristic curve. Also we show that our non-ladderextended approximation improves almost perfectly the gauge dependence of thechiral condensates.