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arxiv: 0704.2843 · v1 · submitted 2007-04-21 · ✦ hep-ph · cond-mat.other· hep-th

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

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classification ✦ hep-ph cond-mat.otherhep-th
keywords finitetemperaturecorrectionsdensitygross-neveumodelpotentialanalytical
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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.

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