1304.5276 (Ken-Ichi Aoki et al.)

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    [PDF]

Ken-Ichi Aoki, Daisuke Sato

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.

View original: http://arxiv.org/abs/1304.5276