Chiral Symmetry Breaking in Gribov's Approach to QCD at Low Momentum

TL;DR

This paper investigates chiral symmetry breaking in low-momentum QCD using Gribov's approach, analyzing the effects of pion corrections on the quark mass function and finding minimal pion influence at low momenta.

Contribution

It introduces a relation between the dynamical quark mass functions with and without pion corrections within Gribov's framework at low momentum.

Findings

Pion corrections are small at low momenta.

The dynamical mass functions are related through polar parametrization.

Graphical analysis supports minimal pion effects in the low-momentum regime.

Abstract

We consider Gribov's equation for inverse quark Green function with and without pion correction. With polar parametrization of inverse quark Green function, we relate the dynamical mass function without pion correction, $M_{0}(q^2)$ and with pion correction, $M(q^2)$ at low momentum. A graph is plotted for $M(q^2)$ and $M_{0}(q^2)$ with q for low momentum. It is found that at low momenta pion corrections are small.