Chern-Simons theory and BCS superconductivity

被引:35
作者
Asorey, M [1 ]
Falceto, F [1 ]
Sierra, G [1 ]
机构
[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain
关键词
D O I
10.1016/S0550-3213(01)00614-9
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study the relationship between the holomorphic unitary connection of Chern-Simons theory with temporal Wilson lines and the Richardson's exact solution of the reduced BCS Hamiltonian. We derive the integrals of motion of the BCS model, their eigenvalues and eigenvectors as a limiting case of the Chern-Simons theory. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:593 / 614
页数:22
相关论文
共 52 条
[1]   The BCS model and the off-shell Bethe ansatz for vertex models [J].
Amico, L ;
Falci, G ;
Fazio, R .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (33) :6425-6434
[2]   Integrable model for interacting electrons in metallic grains [J].
Amico, L ;
Di Lorenzo, A ;
Osterloh, A .
PHYSICAL REVIEW LETTERS, 2001, 86 (25) :5759-5762
[3]  
AMICO L, CONDMAT0105141
[4]  
AXELROD S, 1991, J DIFFER GEOM, V33, P787
[5]   OFF-SHELL BETHE-ANSATZ EQUATIONS AND N-POINT CORRELATORS IN THE SU(2) WZNW THEORY [J].
BABUJIAN, HM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (23) :6981-6990
[6]   OFF-SHELL BETHE-ANSATZ EQUATION FOR GAUDIN MAGNETS AND SOLUTIONS OF KNIZHNIK-ZAMOLODCHIKOV EQUATIONS [J].
BABUJIAN, HM ;
FLUME, R .
MODERN PHYSICS LETTERS A, 1994, 9 (22) :2029-2039
[7]   THEORY OF SUPERCONDUCTIVITY [J].
BARDEEN, J ;
COOPER, LN ;
SCHRIEFFER, JR .
PHYSICAL REVIEW, 1957, 108 (05) :1175-1204
[8]   ON THE WESS-ZUMINO-WITTEN MODELS ON THE TORUS [J].
BERNARD, D .
NUCLEAR PHYSICS B, 1988, 303 (01) :77-93
[9]  
BERSTHELSEN A, 1986, TECTONOPHYSICS, V126, P31
[10]   Spectroscopy of the superconducting gap in individual nanometer-scale aluminum particles [J].
Black, CT ;
Ralph, DC ;
Tinkham, M .
PHYSICAL REVIEW LETTERS, 1996, 76 (04) :688-691