Analytical solution of the Gross-Neveu model at finite density
- 18 March 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 69 (6), 067703
- https://doi.org/10.1103/physrevd.69.067703
Abstract
Recent numerical calculations have shown that the ground state of the Gross-Neveu model at finite density is a crystal. Here, we present the analytical solution of this problem in terms of elliptic functions. The scalar potential is the superpotential of the nonrelativistic Lamé Hamiltonian. This model can also serve as an analytically solvable toy model for a relativistic superconductor in the Larkin-Ovchinnikov-Fulde-Ferrell phase.Keywords
Other Versions
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