Analysis of ρ condensation in a Nambu-Jona-Lasinio model

Abstract

A non-local Nambu-Jona-Lasinio model can be derived from QCD in the lowenergy limit. In this way, it is possible to fix all the free parameters of the model with physical ones. We used this approach to derive a local limit to the Nambu-Jona-Lasinio model, with the parameters those obtained from QCD, in order to fix the physical parameters of ρ condensation and obtain the critical magnetic field. ρ condensation is a consequence of the highly non-trivial behavior of the QCD vacuum in presence of a very strong magnetic field giving rising to superconductive behavior in quark matter. We extend previous computations by including finite temperature terms.