Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model

Details Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model

2010-05-20

arxiv.org/abs/1005.3636v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, no figures. Version to appear in Nuclear Physics A

Scientific paper

We apply the closed time-path Green function formalism in the Nambu--Jona-Lasinio model. First of all, we use this formalism to obtain the well-known gap equation for the quark condensate in a stationary homogeneous system. We have also used this formalism to obtain the Ginzburg-Landau (GL) equation and the time-dependent Ginzburg-Landau (TDGL) equation for the chiral order parameter in an inhomogeneous system. In our derived GL and TDGL equations, there is no other parameters except for those in the original NJL model.

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