Emergence of tricritical point and liquid-gas phase in the massless2+1dimensional Gross-Neveu model

2007/05/31 by Jean-Loı̈c Kneur, Jean-Loic Kneur, Marcus Benghi Pinto +2 · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #cond-mat.soft #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.76.045020

published as Phys.Rev.D76:045020,2007 · 26 pages, 15 eps figures. Replaced with version that matches the published one

openalex publication_date 2007/08/31 · arxiv created 2007/11/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A complete thermodynamical analysis of the 2+1 dimensional massless Gross-Neveu model is performed using the optimized perturbation theory. This is a nonperturbative 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 a discrete chiral phase transition allowing us 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 order parameter, critical temperature, and critical chemical potential.

Citations

• Nonuniversal critical quantities from variational perturbation theory and their application to the Bose-Einstein condensation temperature shift
• Asymptotically improved convergence of optimized perturbation theory in the Bose-Einstein condensation problem

Cited by

• Phase transition in the 3D massive Gross-Neveu model
• Continuum scaling from large mass expansion on the lattice: Delta expansion applied to the anharmonic oscillator
• Perturbative Yukawa theory at finite density: The role of masses and renormalization group flow at two loops
• A model to study finite-size and magnetic effects on the phase transition of a fermion interacting system
• Finite size effects in the Gross-Neveu model with isospin chemical potential
• Asymptotically free theory with scale invariant thermodynamics

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• Phase structure of the massive chiral Gross-Neveu model from the Hartree-Fock approach
• Non-perturbative phase boundaries in the Gross-Neveu model from a stability analysis
• Thermodynamics and critical behavior in the Nambu–Jona-Lasinio model of QCD
• Dynamics of the chiral phase transition at finite chemical potential