Two-color QCD via dimensional reduction

TL;DR

This paper develops a dimensionally reduced effective theory for two-color QCD to study its thermodynamics at high temperature and density, incorporating quark effects and center symmetry considerations.

Contribution

It introduces a superrenormalizable effective theory formulated with a coarse grained Wilson line, explicitly matches parameters to the full theory, and enables exploration of the two-color QCD phase diagram.

Findings

Effective theory respects Z(2) symmetry without quarks.

Quark effects incorporated via soft Z(2) breaking operators.

Explicit perturbative matching of parameters performed.

Abstract

We study the thermodynamics of two-color QCD at high temperature and/or density using a dimensionally reduced superrenormalizable effective theory, formulated in terms of a coarse grained Wilson line. In the absence of quarks, the theory is required to respect the Z(2) center symmetry, while the effects of quarks of arbitrary masses and chemical potentials are introduced via soft Z(2) breaking operators. Perturbative matching of the effective theory parameters to the full theory is carried out explicitly, and it is argued how the new theory can be used to explore the phase diagram of two-color QCD.