Revised phase diagram of the Gross-Neveu model

2003/02/19 by Michael Thies, Konrad Urlichs · 6 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Diagram #Fermion #Gross–Neveu model #High-Energy Particle Collisions Research #Instability #Mathematics #Mean field theory #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistics #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.67.125015

published as Phys.Rev. D67 (2003) 125015 · Revtex, 12 pages, 15 figures; v2: Axis labelling in Fig. 9 corrected

arxiv created 2003/02/19 · openalex publication_date 2003/06/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We confirm earlier hints that the conventional phase diagram of the discrete chiral Gross-Neveu model in the large N limit is deficient at nonzero chemical potential. We present the corrected phase diagram constructed in mean field theory. It has three different phases, including a kink-antikink crystal phase. All transitions are second order. The driving mechanism for the new structure of baryonic matter in the Gross-Neveu model is an Overhauser type instability with gap formation at the Fermi surface.

Citations

• There are no Goldstone bosons in two dimensions
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models

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