Effective Action for the Quark-Meson Model

Details Effective Action for the Quark-Meson Model Effective Action for the Quark-Meson Model

1995-05-09

arxiv.org/abs/hep-ph/9505267v1

Phys.Rev. D53 (1996) 5142-5175

Physics

High Energy Physics

High Energy Physics - Phenomenology

56 pages (including 10 figures and 1 table), uses epsf.sty

Scientific paper

10.1103/PhysRevD.53.5142

The scale dependence of an effective average action for mesons and quarks is described by a nonperturbative flow equation. The running couplings lead to spontaneous chiral symmetry breaking. We argue that for strong Yukawa coupling between quarks and mesons the low momentum physics is essentially determined by infrared fixed points. This allows us to establish relations between various parameters related to the meson potential. The results for $f_\pi$ and $\VEV{\olpsi\psi}$ are not very sensitive to the poorly known details of the quark--meson effective action at scales where the mesonic bound states form. For realistic constituent quark masses we find $f_\pi$ around $100\MeV$.

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