Functional renormalization flow and dynamical chiral symmetry breaking of QCD

Details Functional renormalization flow and dynamical chiral symmetry breaking of QCD Functional renormalization flow and dynamical chiral symmetry breaking of QCD

2012-01-12

arxiv.org/abs/1201.2468v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 8 figures, revtex4; major changes in Sec. VI., reference added; accepted by PRD

Scientific paper

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.

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