Ref HAL: in2p3-00148875_v1
Ref Arxiv: 0705.0676
DOI: 10.1103/PhysRevD.76.045020
WoS: 000249155800101
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
50 Citations
Résumé:

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.

Commentaires: 25 pages, 15 eps figures. Added new references. Minor changes around the text