Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model

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dc.creatorKneur, Jean-Loic
dc.creatorPinto, Marcus Benghi
dc.creatorRamos, Rudnei O.
dc.creatorStaudt, Ederson
dc.date2007-05-04
dc.date2007-11-15
dc.date.accessioned2026-07-07T10:59:57Z
dc.date.available2026-07-07T10:59:57Z
dc.descriptionA complete thermodynamical analysis of the 2+1 dimensional massless Gross-Neveu model is performed using the optimized perturbation theory. This is a non-perturbative method that allows us to go beyond the known large-N results already at lowest order. Our results, for a finite number of fermion species, N, show the existence of a tricritical point in the temperature and chemical potential phase diagram for discrete chiral phase transition allowing us to precisely to locate it. By studying the phase diagram in the pressure and inverse density plane, we also show the existence of a liquid-gas phase, which, so far, was unknown to exist in this model. Finally, we also derive N dependent analytical expressions for the fermionic mass, critical temperature and critical chemical potential.
dc.description26 pages, 15 eps figures. Replaced with version that matches the published one
dc.identifierhttps://arxiv.org/abs/0705.0676
dc.identifierhttp://arxiv.org/abs/0705.0676
dc.identifierPhys.Rev.D76:045020,2007
dc.identifierdoi:10.1103/PhysRevD.76.045020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187581
dc.subjectHigh Energy Physics - Theory
dc.subjectSoft Condensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.titleEmergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
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