Phase diagram of two-color QCD matter at finite baryon and axial isospin densities

TL;DR

This paper investigates the phase structure of two-color QCD with two flavors under finite baryon and axial isospin densities using chiral perturbation theory and the NJL model, revealing the interplay of mesons and baryons.

Contribution

It derives an effective Lagrangian incorporating mesons and diquarks within an extended SU(4) symmetry and maps the phase diagram using the NJL model.

Findings

Phase diagram of two-color QCD in the μ-ν₅ plane.

Dependence of excitations on baryon and axial isospin densities.

Effective Lagrangian including mesons and diquarks.

Abstract

We study the two-color QCD matter within two fundamental quark flavors via both chiral perturbation theory and Nambu--Jona-Lasinio model methods. The effective Lagrangian described by low lying meson and baryon, i.e., diquark, is derived, where the excitations locate in the extended $\mathrm{SU}(4)$ flavor symmetry space. We determine the leading order terms on the dependence of the baryon and axial isospin densities. Then, the two-color NJL model is employed to run the numerical simulation and the phase diagram in the plane of $\mu-\nu_{5}$ is plotted.