Phase structure of the massive chiral Gross-Neveu model from the Hartree-Fock approach

2008/07/16 by Christian G. Boehmer, Christian Boehmer, Ulf Fritsch +2 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.78.065043

published as Phys.Rev.D78:065043,2008 · 12 pages, 16 figures

arxiv created 2008/07/16 · openalex publication_date 2008/09/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The phase diagram of the massive chiral Gross-Neveu model (the massive Nambu--Jona-Lasinio model in 1+1 dimensions) is constructed. In the large N limit, the Hartree-Fock approach can be used. We find numerically a chiral crystal phase separated from a massive Fermi gas phase by a 1st order transition. Using perturbation theory, we also construct the critical sheet where the homogeneous phase becomes unstable in a 2nd order transition. A tricritical curve is located. The phase diagram is mapped out as a function of fermion mass, chemical potential and temperature, and compared with the one of the discrete chiral Gross-Neveu model. As a by-product, we illustrate the crystal structure of matter at zero temperature for various densities and fermion masses.

Citations

• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Full phase diagram of the massive Gross–Neveu model
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Cited by

• Phase transition in the 3D massive Gross-Neveu model
• A model to study finite-size and magnetic effects on the phase transition of a fermion interacting system
• Quarkyonic chiral spirals

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• Phase diagram of chiral and diquark condensates at finite temperature and density in the 2-dimensional Gross Neveu model
• Inhomogeneous Phases in the Chiral Gross-Neveu Model on the Lattice