TOPOLOGICAL VARIANTS OF LATTICE FIELD MODELS

被引:2
作者
BRODY, DC
机构
[1] The Blackett Laboratory, Imperial College, London
来源
PHYSICA A | 1995年 / 213卷 / 03期
关键词
D O I
10.1016/0378-4371(94)00199-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The conventional Ising model is generalised so as to introduce a topological frustration for both ferromagnetic and antiferromagnetic cases. This generalisation is extended to a broad class of lattice field models, including the conventional XY model and classical Heisenberg model as special cases. Twisted external fields are also introduced in a manner symmetrical with respect to the intrinsic fields. The partition function and the two-point correlation function are explicitly determined for several varieties of twisted 1-dimensional chains with zero external field. Cohomological and fibre bundle interpretations are discussed.
引用
收藏
页码:315 / 336
页数:22
相关论文
共 13 条
[1]  
[Anonymous], 2013, 2 DIMENSIONAL ISING
[2]  
Baxter R. J., 2007, EXACTLY SOLVED MODEL
[3]  
BLEECKER D, 1981, TAUGE THEORY VARIATI
[4]  
CREUTZ M., 1983, QUARKS GLUONS LATTIC
[5]  
Dollard J., 1979, PRODUCT INTEGRATION
[6]  
HAMERMESH M, 1979, GROUP THEORY ITS APP
[7]  
KOGUT JB, 1979, REV MOD PHYS, V51
[8]  
Miller W., 1972, SYMMETRY GROUPS THEI
[9]  
SCHULMAN LS, 1981, TECHNIQUES APPLICATI
[10]  
SEIFERTTHRELFAL, 1934, LEHRBUCH TOPOLOGIE