Eur. Phys. J. A (2017) 53: 137
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

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^* e-mail: ericblanquier@hotmail.com

Received: 9 January 2017
Accepted: 13 May 2017
Published online: 23 June 2017

Abstract

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.