Annotation
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.
Received: 2009 April 27
Approved: 2009 October 9
PACS:
11.10.Kk Field theories in dimensions other than four
04.60.Kz Lower dimensional models; minisuperspace models
11.30.Cp Lorentz and Poincaré invariance
04.60.Kz Lower dimensional models; minisuperspace models
11.30.Cp Lorentz and Poincaré invariance
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
N.V. Gubina, V.Ch. Zhukovskii
Department of Theoretical Physics, Faculty of Physics, Moscow State University, Moscow, 119991, Russia
Department of Theoretical Physics, Faculty of Physics, Moscow State University, Moscow, 119991, Russia