Revised Phase Diagram of the Gross-Neveu Model

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 non-zero 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.

arXiv commentRevtex, 12 pages, 15 figures; v2: Axis labelling in Fig. 9 corrected

References in corpus (8)

• On finite-density QCD at large Nc
• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Dense QCD : Overhauser or BCS Pairing ?
• A chiral crystal in cold QCD matter at intermediate densities?
• Thermodynamics of the Massive Gross-Neveu Model
• Nonlinear sigma model approach for phase disorder transitions and the pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong-coupling superconductors
• No First-Order Phase Transition in the Gross-Neveu Model?
• Crystalline ground state in chiral Gross-Neveu and Cooper pair models at finite densities

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