Analytical solution of the Gross-Neveu model at finite density

Details Analytical solution of the Gross-Neveu model at finite density Analytical solution of the Gross-Neveu model at finite density

2003-08-25

arxiv.org/abs/hep-th/0308164v2

Phys.Rev. D69 (2004) 067703

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.69.067703

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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