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

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

2002-07-15

arxiv.org/abs/hep-ph/0207187v3

Prog.Theor.Phys. 112 (2004) 289-297

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages

Scientific paper

10.1143/PTP.112.289

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.

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