Color superconductivity in the static Einstein Universe

TL;DR

This paper investigates how gravitational curvature in a static Einstein Universe affects quark and diquark condensates in dense matter, revealing phase transitions and condensate behavior at finite temperature and density.

Contribution

It introduces a model for analyzing quark matter in curved spacetime, specifically within the Einstein Universe, extending the Nambu--Jona-Lasinio framework to include gravitational effects.

Findings

Condensate behavior varies with curvature, chemical potential, and temperature.

Phase diagrams show distinct phases influenced by gravitational curvature.

Gravitational effects significantly alter the phase structure of dense quark matter.

Abstract

We study the behavior of quark and diquark condensates in dense quark matter under the influence of a gravitational field adopting as a simple model the static $D-$dimensional Einstein Universe. Calculations are performed in the framework of the extended Nambu--Jona-Lasinio model at finite temperature and quark density on the basis of the thermodynamic potential and the gap equations. Quark and diquark condensates as functions of the chemical potential and temperature at different values of the curvature have been studied. Phase portraits of the system have been constructed.