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.

26 pages, 15 eps figures. Replaced with version that matches the published one

References in corpus (4)

• Chiral Perturbation Theory Beyond One Loop
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N

Cited by in corpus (34)

• Quantum field theory on toroidal topology: algebraic structure and applications
• Thermodynamics and Phase Structure of the Two-Flavor Nambu--Jona-Lasinio Model Beyond Large-N_c
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• Magnetization of Planar Four-Fermion Systems
• Multiple Critical Points in Effective Quark Models
• Critical Dopant Concentration in Polyacetylene and Phase Diagram from a Continuous Four-Fermi Model
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
• Dynamical Generation of a Repulsive Vector Contribution to the Quark Pressure
• Nonperturbative Yukawa theory at finite density and temperature
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Perturbative Yukawa theory at finite density: the role of masses and renormalization group flow at two loops
• Mean field approach to flavor susceptibilities with a vector interaction
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Interplay Between Approximation Theory and Renormalization Group
• Phase transition in the 3-D massive Gross-Neveu model
• An extension of the Linear Delta Expansion to Superspace
• Three dimensional Yukawa models and CFTs at strong and weak couplings
• Asymptotically Free Theory with Scale Invariant Thermodynamics
• Superconducting phase transition in planar fermionic models with Dirac cone tilting
• Excitonic insulators and Gross-Neveu models
• The magnetized (2+1)-dimensional Gross-Neveu model at finite density
• Spontaneous non-Hermiticity in the (2+1)-dimensional Gross-Neveu model
• Spontaneous non-Hermiticity in the (2+1)-dimensional Thirring model
• First order phase transitions within Weyl type of materials at low temperatures
• Continuum scaling in expansions effective at a large lattice spacing
• Cascade of phase transitions in a planar Dirac material
• Hartree-Fock approach to dynamical mass generation in the generalized (2+1)-dimensional Thirring model
• Testing the equivalence between the planar Gross-Neveu and Thirring models at $N=1$
• Charged scalars at finite electric field and temperature in the optimized perturbation theory
• Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter
• Continuum Scaling from Large Mass Expansion on the Lattice: Delta Expansion Applied to the Anharmonic Oscillator
• A Lorentz-violating low-energy model for the bilayer Graphene
• Supergraph Approach in a Higher-order LDE Calculation of the Effective Potential for F-type Broken SUSY
• Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory