Analytical solution of the Gross-Neveu model at finite density
Aug, 20034 pages
Published in:
- Phys.Rev.D 69 (2004) 067703
e-Print:
- hep-th/0308164 [hep-th]
Report number:
- FAU-TP3-03-9
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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.- 11.10.Kk
- Gross-Neveu model
- dimension: 2
- density: finite
- energy
- Hartree-Fock approximation
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