Analytical solution of the Gross-Neveu model at finite density

被引：53
|
作者：
Thies, M [1 ]
机构：
[1] Univ Erlangen Nurnberg, Inst Theoret Phys 3, D-91058 Erlangen, Germany
来源：
PHYSICAL REVIEW D | 2004年 / 69卷 / 06期
关键词：
D O I：
10.1103/PhysRevD.69.067703
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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 Lame Hamiltonian. This model can also serve as an analytically solvable toy model for a relativistic superconductor in the Larkin-Ovchinnikov-Fulde-Ferrell phase.
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页数：4
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