Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions

Details Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions

2007-05-04

arxiv.org/abs/0705.0673v3

Phys.Lett.B657:136-142,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 eps figures. Replaced with the version that matches the published one (PLB)

Scientific paper

10.1016/j.physletb.2007.10.013

The method of optimized perturbation theory (OPT) is used to study the phase diagram of the massless Gross-Neveu model in 2+1 dimensions. In the temperature and chemical potential plane, our results give strong support to the existence of a tricritical point and line of first order phase transition, previously only suspected to exist from extensive lattice Monte Carlo simulations. In addition of presenting these results we discuss how the OPT can be implemented in conjunction with the Landau expansion in order to determine all the relevant critical quantities.

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