New insight on the quark condensate beyond chiral limit

TL;DR

This paper introduces a new, cutoff-independent way to define the quark condensate beyond the chiral limit, analyzing its evolution and susceptibility with respect to quark mass to identify a transition boundary in hadron dynamics.

Contribution

It proposes a novel, cutoff-independent definition of the quark condensate beyond the chiral limit using Dyson-Schwinger Equations.

Findings

Identifies a critical quark mass near the s-quark mass affecting condensate susceptibility.

Provides insights into the transition boundary for internal hadron dynamics.

Analyzes the evolution of the quark condensate with respect to current quark mass.

Abstract

With analyzing the mass function obtained by solving Dyson-Schwinger Equations, we propose a cut-off independent definition of quark condensate beyond chiral limit. With this well-defined condensate, we then analyze the evolution of the condensate and its susceptibility with the current quark mass. The susceptibility shows a critical mass in the neighborhood of the s-quark current mass, which defines a transition boundary for internal hadron dynamics.