Responses of hadrons to chemical potential at finite temperature

TL;DR

This paper develops a lattice QCD framework to analyze how hadron masses respond to chemical potential changes at finite temperature, revealing different behaviors across phases linked to chiral symmetry.

Contribution

It introduces a novel method to compute hadron mass responses to chemical potential in lattice QCD, with initial results for pseudoscalar mesons across temperature phases.

Findings

Responses differ below and above T_c, indicating chiral symmetry effects.

First and second responses to chemical potential are evaluated.

Results suggest phase-dependent behavior of hadron responses.

Abstract

We present a framework to compute the responses of hadron masses to the chemical potential in lattice QCD simulations. As a first trial, the screening mass of the pseudoscalar meson and its first and second responses are evaluated. We present results on a $16\times 8^2\times 4$ lattice with two flavors of staggered quarks below and above $T_c$. The responses to both the isoscalar and isovector chemical potentials are obtained. They show different behavior in the low and the high temperature phases, which may be explained as a consequence of chiral symmetry breaking and restoration, respectively.