Analytical solution of the Gross-Neveu model at finite density
High Energy Physics - Theory
2009-11-10 v2 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.hep-th/0308164,
title = {Analytical solution of the Gross-Neveu model at finite density},
author = {Michael Thies},
journal= {arXiv preprint arXiv:hep-th/0308164},
year = {2009}
}
Comments
5 pages, no figures, revtex; vs2: appendix with analytical proof of self-consistency added