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Analytical solution of the Gross-Neveu model at finite density

Michael Thies
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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.

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Michael Thies. 2003-09-24. Analytical solution of the Gross-Neveu model at finite density. https://doi.org/10.1103/physrevd.69.067703

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