Mean field approach to flavor susceptibilities with a vector interaction

TL;DR

This paper develops a mean field model to calculate light quark flavor susceptibilities at zero chemical potential, linking them to vector interactions and lattice QCD data.

Contribution

It introduces a consistent mean field framework for flavor susceptibilities incorporating vector interactions and estimates coupling strengths from lattice data.

Findings

Flavor susceptibilities depend only on medium-dependent couplings and quark thermodynamics.

Coupling strengths can be extracted from lattice QCD data.

Model provides a unified approach to susceptibilities at zero chemical potential.

Abstract

We show that flavor diagonal and off-diagonal susceptibilities of light quarks at vanishing chemical potential can be calculated consistently assuming the baryon density and isospin density dependence of QCD to be expressed by a vector-isoscalar and a vector-isovector coupling, respectively. At the mean field level, their expression depends only on the effective medium-dependent couplings and quark thermodynamic potential. The strength of the couplings can be then estimated from the model using lattice QCD data as an input.