Analytical solution of the Gross-Neveu model at finite density

2003/08/31 by Michael Thies · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.69.067703

published as Phys.Rev. D69 (2004) 067703 · 5 pages, no figures, revtex; vs2: appendix with analytical proof of self-consistency added

arxiv created 2003/09/24 · openalex publication_date 2004/03/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recent numerical calculations have shown that the ground state of the Gross-Neveu model at finite density is a crystal. Here, we present the analytical solution of this problem in terms of elliptic functions. The scalar potential is the superpotential of the nonrelativistic Lam'e Hamiltonian. This model can also serve as an analytically solvable toy model for a relativistic superconductor in the Larkin-Ovchinnikov-Fulde-Ferrell phase.

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