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Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
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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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Cited by 2 Pith papers
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A scalable Trotterization and Localized Diagonal Operator Approximation enable real-time quantum simulation of the multi-flavor Gross-Neveu model on utility-scale superconducting hardware.
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At large chemical potential the Gross-Neveu model enters a crystalline phase in which a-particle bound states condense, producing a periodically oscillating chiral condensate governed by two new scales Λ_n and Λ_c tha...
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