Chiral symmetry breaking beyond BCS and theorem on the width of scalars

TL;DR

This paper reviews chiral symmetry breaking beyond the BCS approximation using quark models and Schwinger-Dyson equations, presenting a theorem on scalar meson properties including masses, widths, and quark content.

Contribution

It introduces a theorem on scalar meson masses, widths, and quark content, extending understanding beyond the BCS level in chiral symmetry breaking.

Findings

Revisits pi mass problem beyond BCS approximation

Establishes a theorem on scalar meson properties

Analyzes chiral symmetry breaking using Schwinger-Dyson formalism

Abstract

We review chiral symmetry breaking at the BCS level, in the framework of chiral invariant quark models and in the Schwinger-Dyson formalism. We revisit the pi mass problem beyond the BCS level. We show a theorem on the masses, on the widths and on the q qbar content of the scalar mesons sigma and f0.