1995/05/09 by D.-U. Jungnickel, D. -U. Jungnickel, C. Wetterich · 3 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.53.5142
published as Phys.Rev. D53 (1996) 5142-5175 · 56 pages (including 10 figures and 1 table), uses epsf.sty
arxiv created 1995/05/09 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The scale dependence of an effective average action for mesons and quarks is described by an exact nonperturbative flow equation. The running of couplings follows from a truncation of this equation. For the dimensionless scalar and Yukawa couplings it proceeds according to renormalization-group-improved one-loop \ensuremathβ functions including mass threshold functions. The running scalar mass term becomes negative for small scales and induces 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_\mathrm\ensuremathπ and 〈\ensuremathψ\ifmmode\else\textasciimacron\fi\ensuremathψ〉 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_\mathrm\ensuremathπ around 100 MeV. \textcopyright 1996 The American Physical Society.