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.
引用
收藏
页数：4
相关论文
共 50 条
  • [31] CFT data in the Gross-Neveu model
    Goykhman, Mikhail
    Sinha, Ritam
    PHYSICAL REVIEW D, 2021, 103 (12)
  • [32] Gross-Neveu model with overlap fermions
    Ichinose, I
    Nagao, K
    MODERN PHYSICS LETTERS A, 2000, 15 (13) : 857 - 865
  • [33] THERMODYNAMICS OF THE MASSIVE GROSS-NEVEU MODEL
    BARDUCCI, A
    CASALBUONI, R
    MODUGNO, M
    PETTINI, G
    GATTO, R
    PHYSICAL REVIEW D, 1995, 51 (06): : 3042 - 3060
  • [34] BOSONIZATION AND THE LATTICE GROSS-NEVEU MODEL
    BECCARIA, M
    PHYSICS LETTERS B, 1994, 327 (1-2) : 95 - 100
  • [35] GAUSSIAN ANALYSIS OF THE GROSS-NEVEU MODEL
    LATORRE, JI
    SOTO, J
    PHYSICAL REVIEW D, 1986, 34 (10): : 3111 - 3116
  • [36] Finite size effects in the Gross-Neveu model with isospin chemical potential
    Ebert, D.
    Klimenko, K. G.
    Tyukov, A. V.
    Zhukovsky, V. Ch.
    PHYSICAL REVIEW D, 2008, 78 (04):
  • [37] Confinement in the 3-dimensional Gross-Neveu model at finite temperature
    Khanna, F. C.
    Malbouisson, A. P. C.
    Malbouisson, J. M. C.
    Santana, A. E.
    BRAZILIAN JOURNAL OF PHYSICS, 2007, 37 (1B) : 276 - 280
  • [38] ϵ-expansion in the Gross-Neveu
    Avinash Raju
    Journal of High Energy Physics, 2016
  • [39] ε-expansion in the Gross-Neveu
    Raju, Avinash
    JOURNAL OF HIGH ENERGY PHYSICS, 2016, (10):
  • [40] SIMULATING THE GROSS-NEVEU MODEL WITH THE LANGEVIN ALGORITHM - A COMPARISON OF ANALYTICAL AND NUMERICAL RESULTS
    BELANGER, L
    LACAZE, R
    MOREL, A
    ATTIG, N
    PETERSSON, B
    WOLFF, M
    NUCLEAR PHYSICS B, 1990, 340 (01) : 245 - 279
12345