Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors

Details Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors

2004-02-02

arxiv.org/abs/hep-th/0402014v4

Annals Phys. 314 (2004) 425-447

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 8 figures, v2: streamlined derivations using complex functions; 3 figures and 2 references added, v3: 6 references a

Scientific paper

10.1016/j.aop.2004.06.009

Recently the revised phase diagram of the (large N) Gross-Neveu model in 1+1 dimensions with discrete chiral symmetry has been determined numerically. It features three phases, a massless and a massive Fermi gas and a kink-antikink crystal. Here we investigate the phase diagram by analytical means, mapping the Dirac-Hartree-Fock equation onto the non-relativistic Schroedinger equation with the (single gap) Lame potential. It is pointed out that mathematically identical phase diagrams appeared in the condensed matter literature some time ago in the context of the Peierls-Froehlich model and ferromagnetic superconductors.

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