The role of hidden ambiguities in the linear sigma model with fermions

2005/03/31 by Brigitte Hiller, A. L. Mota, M. C. Nemes +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2006.02.002

published as Nucl.Phys. A769 (2006) 53-70 · Typographical errors corrected, version to appear in Nuc. Phys. A

openalex publication_date 2006/02/22 · arxiv created 2006/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The U_L(3)× U_R(3) Linear Sigma Model (LSM) with quark degrees of freedom is used to show that radiative corrections generate undetermined finite contributions. Their origin is related to surface terms which are differences between divergent integrals with the same degree of divergence. The technique used to detect these ambiguities is an implicit regularization on basic divergent integrals that do not depend on external momenta. We show that such contributions are absorbed by renormalization or fixed by symmetry requirements. The general expression for surface terms is derived. Renormalization group coefficients are calculated, as well as relevant observables for this model, such as f_π, f_k and the pion and kaon form factors.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Effective Lagrangians and Field Algebras with Chiral Symmetry
• The axial vector current in beta decay
• Axial-Vector Vertex in Spinor Electrodynamics
• Meson properties in a renormalizable version of the NJL model
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Cited by

• Axial-vector coupling and chiral anomaly in the spectral quark model