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Dimensional reduction of fermions in the Gross-Neveu model under the conditions of violated Lorentz invariance

N.V. Gubina, V.Ch. Zhukovsky, S.G. Kurbanov

Moscow University Physics Bulletin 2012. 67. N 2. P. 159

  • Article
Annotation

The Gross-Neveu model with violated Lorentz invariance is analyzed. The effective potential for the 3D and 2D cases is calculated. The gap equation is obtained and the symmetry features of the model are considered. Dimensional reduction allows the establishment of the concordance between the results for a different number of measurements.

Received: 2011 November 16
Approved: 2012 May 22
PACS:
11.30.Cp Lorentz and Poincaré invariance
11.30.Rd Chiral symmetries
03.70.+k Theory of quantized fields
Authors
N.V. Gubina, V.Ch. Zhukovsky, S.G. Kurbanov
Department of Physics, Moscow State University, Moscow, 119991, Russia
Issue 2, 2012

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