Charged rho superconductor in the presence of magnetic field and rotation

TL;DR

This paper investigates the formation of charged rho superconductor in a three-flavor Nambu--Jona-Lasinio model under strong magnetic fields and rotation, showing it is favored and stable at high fields and angular velocities.

Contribution

It demonstrates that charged rho superconductor is a robust ground state under combined magnetic and rotational effects, extending previous studies on charged pion superfluidity.

Findings

Charged rho begins to condense at lower angular velocities than charged pion.

CRS remains stable at very large magnetic fields and rotation speeds.

The study confirms CRS as the favored phase in these extreme conditions.

Abstract

In this work, we mainly explore the possibility of charged rho superconductor (CRS) in the presence of parallel magnetic field and rotation within three-flavor Nambu--Jona-Lasino model. By following similar schemes as in the previous studies of charged pion superfluid (CPS), the CRS is found to be favored for both choices of Schwinger phase in Minkovski and curved spaces. Due to the stability of the internal spin structure, charged rho begins to condensate at a smaller threshold of angular velocity than charged pion for the given large magnetic fields. Even the axial vector meson condensation is checked -- the conclusion is that CRS is the robust ground state at strong magnetic field and fast rotation, which actually sustains to very large angular velocity.