%0 Conference Proceedings %T The 2d Gross-Neveu model at finite temperature and density with finite N corrections %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Kneur, Jean-Loïc %A Pinto, Marcus %A Ramos, Rudnei O. %< avec comité de lecture %Z LPTA:07-096 %( BRAZILIAN JOURNAL OF PHYSICS %B International Meeting of the Infrared QCD %C Rio de Janeiro (BRAZIL), France %V 37 %P 258-264 %8 2006-06-05 %D 2006 %K non perturbative methods %K Gross-Neveu model %K finite temperature %K finite density %K DYNAMICAL SYMMETRY BREAKING %K QUANTUM-FIELD THEORY %K RESTORATION %K EXPANSION %K SCHEME %K LIMIT %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]Conference papers %X We use the linear 5 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 hal-00546813 %U https://hal.science/hal-00546813 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2