Skip to Main content Skip to Navigation
Journal articles

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

Abstract : 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.
Document type :
Journal articles
Complete list of metadata

http://hal.in2p3.fr/in2p3-00148875
Contributor : Francoise Duceau <>
Submitted on : Wednesday, May 23, 2007 - 3:35:14 PM
Last modification on : Tuesday, November 19, 2019 - 9:08:02 PM

Links full text

Identifiers

Collections

Citation

J.-L. Kneur, M. B. Pinto, R. O. Ramos, E. Staudt. Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model. Physical Review D, American Physical Society, 2007, 76, pp.045020. ⟨10.1103/PhysRevD.76.045020⟩. ⟨in2p3-00148875⟩

Share

Metrics

Record views

115