Functional renormalization flow and dynamical chiral symmetry breaking of QCD

Abstract

The dependence of function 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 non-occurrence of dynamical chiral symmetry breaking is arrived at. The existence of a conformal window is also discussed in the language of renormalization flow.

12 pages, 8 figures, revtex4; typos fixed

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Cited by in corpus (4)

• Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly
• Pseudo-fermion functional renormalization group for spin models
• Optimized regulator for the quantized anharmonic oscillator
• Intermediate effective interactions and dynamical fermion mass generation of QCD