The 2d Gross-Neveu Model at Finite Temperature and Density with Finite Corrections

Abstract

We use the linear $\delta$ expansion, or optimized perturbation theory, to evaluate the effective potential for the two dimensional Gross-Neveu model at finite temperature and density obtaining analytical equations for the critical temperature, chemical potential and fermionic mass which include finite $N$ corrections. Our results seem to improve over the traditional large-N predictions.

Comments: 7 pages, 8 figures