arXiv:1005.3636·v2·High Energy Physics — Phenomenology
Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model
Wei-jie Fu🇨🇳 · Da Huang🇨🇳 · Fa-bing Wang🇨🇳
Abstract
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.
Comments: 20 pages, no figures. Version to appear in Nuclear Physics A