On the Phase Diagram of QCD with Small Isospin Chemical Potential

TL;DR

This paper explores the phase diagram of QCD at small isospin chemical potentials, analyzing the chiral condensate, critical temperature shifts, and the fermion sign problem's dependence on these parameters.

Contribution

It provides an analytical expression for the chiral condensate in the small isospin chemical potential regime within the $psilon$-regime of QCD.

Findings

Derived lines of constant chiral condensate in the temperature-isospin chemical potential plane.

Estimated how the critical temperature varies with isospin chemical potential.

Examined the impact of chemical potential and temperature on the fermion sign problem.

Abstract

The regime of small isospin chemical potential in QCD is investigated. Using the phase quenched partition function in the $\epsilon$-regime an expression for the chiral condensate is given, which is studied in the temperature isospin chemical potential plane. Lines of constant values of the condensate are shown and it is estimated how the critical temperature varies as a function of the isospin chemical potential. Finally, the dependency of the fermion sign problem on the chemical potential and temperature is examined.