Analysis of $Ï$ condensation in a Nambu-Jona-Lasinio model
arXiv:1408.5688 · doi:10.1051/epjconf/20148000042
Abstract
A non-local Nambu-Jona-Lasinio model can be derived from QCD in the low-energy 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 $Ï$ condensation and obtain the critical magnetic field. $Ï$ 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.
5 pages, 1 figure. Contribution to the proceedings of conference QCD@Work 2014, Giovinazzo (Bari - Italy) 16-19 June 2014