Instanton vacuum at finite density of quark matter

TL;DR

This paper investigates how finite quark density affects the instanton liquid model, revealing that increased density can delay the onset of color superconductivity, with implications for understanding quark matter phases.

Contribution

It provides a detailed analysis of quark condensates and instanton density at finite chemical potential, highlighting the shift in phase transition points compared to traditional models.

Findings

Quark impact can delay color superconducting phase transition.

Instanton liquid density decreases with increasing chemical potential.

Critical quark matter density is higher than in conventional nuclear matter.

Abstract

We study light quark interactions in the instanton liquid at finite quark/baryon number density analyzing chiral and diquark condensates and investigate the behaviors of quark dynamical mass and both condensates together with instanton liquid density as a function of quark chemical potential. We conclude the quark impact (estimated in the tadpole approximation) on the instanton liquid could shift color superconducting phase transition to higher values of the chemical potential bringing critical quark matter density to the values essentially higher than conventional nuclear one.