Double Counting Ambiguities in the Linear Sigma Model

Abstract

We study the dynamical consequences imposed on effective chiral field theories such as the quark-level SU(2) linear $\sigma$ model (L$\sigma$M) due to the fundamental constraints of massless Goldstone pions, the normalization of the pion decay constant and form factor, and the pion charge radius. We discuss quark-level double counting L$\sigma$M ambiguities in the context of the Salam-Weinberg $Z=0$ compositeness condition. Then SU(3) extensions to the kaon are briefly considered.

23 pages To be published in Journal of Physics G

References in corpus (1)

• Dynamical generation of the gauged SU(2) linear sigma model

Cited by in corpus (11)

• Chiral Symmetry and the Nucleon Spin Structure Functions
• Constituent Quark Masses and the Electroweak Standard Model
• Effective theories with maximal analyticity
• The Quark-Level Linear σ Model
• Nuclear matter with a Bose condensate of dibaryons in relativistic Hartree approximation
• Meson Form Factors and the Quark-Level Linear Sigma Model
• Dynamical SU(3) linear sigma model and the mixing of eta'-eta and sigma-f_0 mesons
• Studying the scale and q^2 dependence of K^+-->pi^+e^+e^- decay
• On the polarization properties of the charmed baryon Lambda^+_c in the Lambda^+_c -> p + K^- + pi^+ + pi^0 decay
• Remark on the Potential Function of the Linear Sigma Model
• Bypassing the axial anomalies