%0 Journal Article %T The 2d Gross-Neveu Model at Finite Temperature and Density with Finite Corrections %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Kneur, J.-L. %A Pinto, M. B. %A Ramos, R. O. %Z 7 pages, 8 figures %< avec comité de lecture %Z LPTA/06-64 %@ 0103-9733 %J Brazilian Journal of Physics %I Springer Verlag %V 37/1 %P 258-264 %8 2007 %D 2007 %Z 0704.2843 %R 10.1590/S0103-97332007000200016 %K Non perturbative methods %K Gross-Neveu model %K Finite temperature %K Finite density %Z Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other] %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph] %Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles %X 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. %G English %L in2p3-00148882 %U https://hal.in2p3.fr/in2p3-00148882 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2