Probing the nature of phases across the phase transition at finite isospin chemical potential

TL;DR

This study compares the low eigenvalue spectra of the Overlap Dirac operator at different isospin chemical potentials, revealing minimal spectral changes across the phase transition, contrasting with temperature-driven transitions.

Contribution

It provides new insights into the spectral behavior of the Dirac operator across phase transitions at finite isospin chemical potential using lattice QCD simulations.

Findings

Minimal change in zero and low lying modes across the phase transition

Contrasts with spectral behavior at finite temperature phase transitions

Implications for understanding phase structure at finite isospin chemical potential

Abstract

We compare the low eigenvalue spectra of the Overlap Dirac operator on two sets of configurations at $\mu_I/\mu_I^c$ = 0.5 and 1.5 generated with dynamical staggered fermions at these isospin chemical potential on $24^3 \times 6$ lattices. We find very small changes in the number of zero modes and low lying modes which is in stark contrast with those across the corresponding finite temperature phases where one sees a drop across the phase transition. Possible consequences are discussed.