Superconducting phase transition in the Nambu - Jona-Lasinio model
M. Sadzikowski
Abstract
The Nambu - Bogoliubov - de Gennes method is applied to the problem of superconducting QCD. The effective quark-quark interaction is described within the framework of the Nambu - Jona-Lasinio model. The details of the phase diagram are given as a function of the strength of the quark-quark coupling constant G. It is find that there is no superconducting phase transition when one uses the relation between the coupling constants G and G of the Nambu - Jona-Lasinio model which follows from the Fierz transformation. However, for other values of G one can find a rich phase structure containing both the chiral and the superconducting phase transitions.
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