# SIS

## Seminar

### Thermodynamics of the 2+1D Gross-Neveu model beyond large N approximation

Seminar Room 1, Newton Institute

#### Abstract

A complete thermodynamics analysis for the 2+1D Gross-Neveu model is performed using the optimized perturbation method (or linear delta expansion). Analytical results for all critical quantities, like the critical temperature and chemical potential for (discrete) phase transition are obtained. The first order phase transition line and tricritical point, not seen from the available results for the model using for example the standard large-N approximations, are obtained. Our results for the phase diagram for the model also indicates the presence of a "liquid-gas" phase, not previously seen from other methods used to analyze the model.

**Related Links**

- http://arxiv.org/pdf/hep-th/0610201 - related work done for the Gross-Neveu model in 1+1D