The aim of this work is to calculate the effective potential in the two-dimensional Gross-Neveu model with violated Lorentz invariance, to study the properties of the obtained potential, and to find extreme points by solving the gap equation and to compare of the results with the theory in the case of nonviolated Lorentz invariance. It is shown that, in the model under study, the effects that make it crucially different from the well-studied model without violation are observed.
04.60.Kz Lower dimensional models; minisuperspace models
11.30.Cp Lorentz and Poincaré invariance
Department of Theoretical Physics, Faculty of Physics, Moscow State University, Moscow, 119991, Russia
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