Regularizing the quark-level $\sigma$ model

Abstract

We show that the finite difference, $-i{\pi }^2{m}^2$, between quadratic and logarithmic divergent integrals $\int d^{4}p[m^2(p^2-m^2{)}^{-2}-(p^2-m^2{)}^{-1}]$, as encountered in the linear $\sigma$ model, is in fact regularization independent.

9 pages, 2 figures, Latex, to appear in Mod. Phys. Lett. A

References in corpus (1)

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

Cited by in corpus (15)

• Ground-State Scalar $\bar{q}q$ Nonet: SU(3) Mass Splittings and Strong, Electromagnetic, and Weak Decay Rates
• Scalar meson mediated nuclear mu-e conversion
• The Quark-Level Linear σ Model
• 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
• Limits on Lepton Flavor Violation from μ-e-conversion
• Dispersion theory of nucleon Compton scattering and polarizabilities
• On (non-Hermitian) Lagrangeans in (particle) physics and their dynamical generation
• Structure of scalar mesons and the Higgs sector of strong interaction
• Bounds on lepton flavor violating physics and decays of neutral mesons from $\tau (\mu )\to 3\ell ,\ell \gamma \gamma$-decays
• Electromagnetic properties of hadrons via the $u-d$ mass difference and direct photon exchange
• On the amelioration of quadratic divergences
• Nambu's Nobel Prize, the $\sigma$ meson and the mass of visible matter
• Chiral Shielding
• The u-d quark mass difference and nuclear charge symmetry breaking