Analytical solution of the Gross-Neveu model at finite density

Abstract

Recent numerical calculations have shown that the ground state of the Gross-Neveu model at finite density is a crystal. Guided by these results, we can now present the analytical solution to this problem in terms of elliptic functions. The scalar potential is the superpotential of the non-relativistic Lame Hamiltonian. This model can also serve as analytically solvable toy model for a relativistic superconductor in the Larkin-Ovchinnikov-Fulde-Ferrell phase.

5 pages, no figures, revtex; vs2: appendix with analytical proof of self-consistency added

References in corpus (2)

• Revised Phase Diagram of the Gross-Neveu Model
• Duality between quark-quark and quark-antiquark pairing in 1+1 dimensional large N models

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