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Fixed-Point Analysis of the Low-Energy Constants in the Pion-Nucleon Chiral Lagrangian

2002/07/31 by Youngman Kim, F. Myhrer, Fred Myhrer +2
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1143/ptp.112.289

published as Prog.Theor.Phys. 112 (2004) 289-297 · 10 pages

arxiv created 2004/06/30 · openalex publication_date 2004/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the framework of heavy-baryon chiral perturbation theory, we investigate the fixed point structure of renormalization group equations (RGE) for the ratios of the renormalized low energy constants (LECs) that feature in the pion-nucleon chiral Lagrangian. The ratios of the LECs deduced from our RGE analysis are found to be in semi-quantitative agreement with those obtained from direct fit to the experimental data. The naturalness of this agreement is discussed using a simple dimensional analysis combined with Wilsonian RGEs.

Citations