https://doi.org/10.1140/epja/i2017-12317-3
Special Article - Tools for Experiment and Theory
Color superconductivity in the Nambu-Jona-Lasinio model complemented by a Polyakov loop
12 Boulevard des capucines, F-11 800, Trèbes, France
* e-mail: ericblanquier@hotmail.com
Received:
9
January
2017
Accepted:
13
May
2017
Published online:
23
June
2017
The color superconductivity is studied with the Nambu and Jona-Lasinio (NJL) model. This one is coupled to a Polyakov loop, to form the PNJL model. A -dependent Polyakov loop potential is also considered (
PNJL model). An objective is to detail the analytical calculations that lead to the equations to be solved, in all of the treated cases. They are the normal quark (NQ), 2-flavor color-superconducting (2SC) and color-flavor-locked (CFL) phases, in an
description. The calculations are performed according to the temperature T , the chemical potentials
or the densities
, with or without the isospin symmetry. The relation between the
and
results is studied. The influence of the color superconductivity and the Polyakov loop on the found data is analyzed. A triple coincidence is observed at low T between the chiral restoration, the deconfinement transition described by the Polyakov loop and the NQ/2SC phase transition. Furthermore, an sSC phase is identified in the
,
plane. Possible links between certain of the obtained results and physical systems are pointed out.
© SIF, Springer-Verlag GmbH Germany, 2017