Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-04
Phys.Rev.D76:045020,2007
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 15 eps figures. Replaced with version that matches the published one
Scientific paper
10.1103/PhysRevD.76.045020
A 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.
Kneur Jean-Loic
Pinto Marcus Benghi
Ramos Rudnei O.
Staudt Ederson
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