Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density

P. Castorina; M. Mazza; D. Zappala'

doi:10.1016/j.physletb.2003.06.005

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arXiv · hep-th/0305162

Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density

P. Castorina·M. Mazza·D. Zappala'

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Abstract

The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d=2+1 dimensions. The effects of the wave function renormalization of the auxiliary scalar field on the transition have been studied. The analysis is performed for a number of fermion flavors N_f=12 and the limit of large N_f is also considered. The results are compared with those coming from lattice simulations.

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P. Castorina, M. Mazza, D. Zappala'. 2003-12-22. Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density. https://doi.org/10.1016/j.physletb.2003.06.005

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