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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
The method of non-perturbative renormalization group (NPRG) is applied to the
analysis of dynamical chiral symmetry breaking (DCSB) in QCD. We show that the
DCSB solution of the NPRG flow equation can be obtained without the
bosonization. The solution, having the singular point, can be authorized as the
weak solution of partial differential equation, and can be easily evaluated
using the method of the characteristic curve. Also we show that our non-ladder
extended approximation improves almost perfectly the gauge dependence of the
chiral condensates.Comment: 6 pages, 3 figures, contribution to SCGT12 "KMI-GCOE Workshop on
Strong Coupling Gauge Theories in the LHC Perspective", 4-7 Dec. 2012, Nagoya
Universit
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