The Meissner Effect in a Two Flavor LOFF Color Superconductor

TL;DR

This paper demonstrates that a two-flavor LOFF color superconductor with a single plane wave pairing state exhibits no chromomagnetic instabilities at zero temperature, ensuring its stability within certain Fermi surface displacement ranges.

Contribution

It provides the first calculation of the magnetic polarization tensor in a LOFF color superconductor, showing stability against chromomagnetic instabilities.

Findings

All eigenvalues of the magnetic polarization tensor are positive at zero temperature.

Chromomagnetic instabilities are absent in the considered LOFF state.

The stability holds within a specific range of Fermi surface displacements.

Abstract

We calculate the magnetic polarization tensor of the photon and of the gluons in a two flavor color superconductor with a LOFF pairing that consists of a single plane wave. We show that at zero temperature and within the range of the values of the displacement of the Fermi sea that favors the LOFF state, all the eigenvalues of the magnetic polarization tensor are positive. Therefore the chromomagnetic instabilities pertaining to a gapless color superconductor disappear.