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

Castorina, Paolo; Mazza, Marco; Zappala, Dario

doi:10.1016/j.physletb.2003.06.005

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

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Mazza, Marco
Group Non-equilibrium soft matter, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Zitation

Castorina, P., Mazza, M., & Zappala, D. (2003). Renormalization group analysis of the three-dimensional Gross–Neveu model at finite temperature and density. Physics Letters B, 567(1-2), 31-38. doi:10.1016/j.physletb.2003.06.005.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-002B-2FB8-9

Zusammenfassung

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 Nf = 12 and the limit of large Nf is also considered. The results are compared with those coming from lattice simulations.