Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
arXiv:0705.0673 · doi:10.1016/j.physletb.2007.10.013
Abstract
The method of optimized perturbation theory (OPT) is used to study the phase diagram of the massless Gross-Neveu model in 2+1 dimensions. In the temperature and chemical potential plane, our results give strong support to the existence of a tricritical point and line of first order phase transition, previously only suspected to exist from extensive lattice Monte Carlo simulations. In addition of presenting these results we discuss how the OPT can be implemented in conjunction with the Landau expansion in order to determine all the relevant critical quantities.
7 pages, 2 eps figures. Replaced with the version that matches the published one (PLB)
References in corpus (3)
Cited by in corpus (29)
- Thermodynamics and Phase Structure of the Two-Flavor Nambu--Jona-Lasinio Model Beyond Large-N_c
- 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
- Phase diagram of quark-antiquark and diquark condensates at finite temperature and density in the 3-dimensional Gross Neveu model
- Mean field approach to flavor susceptibilities with a vector interaction
- Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
- Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
- Interplay Between Approximation Theory and Renormalization Group
- Three dimensional Yukawa models and CFTs at strong and weak couplings
- Asymptotically Free Theory with Scale Invariant Thermodynamics
- Spatially oscillating correlation functions in -dimensional four-fermion models: The mixing of scalar and vector modes at finite density
- Superconducting phase transition in planar fermionic models with Dirac cone tilting
- Spontaneous non-Hermiticity in the (2+1)-dimensional Gross-Neveu model
- The magnetized (2+1)-dimensional Gross-Neveu model at finite density
- Spontaneous non-Hermiticity in the (2+1)-dimensional Thirring model
- First order phase transitions within Weyl type of materials at low temperatures
- Testing the equivalence between the planar Gross-Neveu and Thirring models at
- Hartree-Fock approach to dynamical mass generation in the generalized (2+1)-dimensional Thirring model
- 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
- 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
- Symmetry breaking patterns for two coupled complex scalar fields at finite temperature and in an external magnetic field