Lattice QCD at finite isospin density

TL;DR

This paper reports on lattice QCD simulations at finite isospin chemical potential, revealing a phase transition to a charged pion condensate that breaks isospin symmetry and results in non-zero isospin density.

Contribution

First lattice QCD study exploring phase structure at finite isospin density, identifying pion condensation as a key feature.

Findings

Charged pion condensate forms above critical isospin chemical potential.

Isospin density becomes non-zero in the condensed phase.

Spontaneous breaking of isospin symmetry observed.

Abstract

We have simulated QCD at a finite chemical potential $\mu_I$ for isospin ($I_3$) to probe part of the phase diagram for nuclear matter. Preliminary results suggest that for $\mu_I > \mu_c$, this theory forms a charged pion condensate which spontaneously breaks $I_3$, and the isospin density is non zero.