THE USE OF ANTI-COMMUTING VARIABLE INTEGRALS IN STATISTICAL-MECHANICS .1. THE COMPUTATION OF PARTITION-FUNCTIONS

被引:133
作者
SAMUEL, S [1 ]
机构
[1] INST ADV STUDY,PRINCETON,NJ 08540
关键词
D O I
10.1063/1.524404
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Integrals over anticommuting variables are use to rewrite partition functions as fermionic field theories. The method is used to solve the two-dimensional Ising model, the planar close-packed dimer problems, and the free-fermion eight vertex model. © 1980 American Institute of Physics.
引用
收藏
页码:2806 / 2814
页数:9
相关论文
共 16 条
[1]  
BEREZIN FA, 1966, METHOD 2ND QUANTIZAT
[2]  
CHANDLIN DJ, 1956, NUOVO CIMENTO, V4, P231
[3]   GENERAL LATTICE MODEL OF PHASE TRANSITIONS [J].
FAN, C ;
WU, FY .
PHYSICAL REVIEW B, 1970, 2 (03) :723-&
[4]  
Green H., 1964, ORDER DISORDER PHENO
[5]   NEW APPROACH TO ISING PROBLEM [J].
HURST, CA .
JOURNAL OF MATHEMATICAL PHYSICS, 1966, 7 (02) :305-&
[6]   DIMER STATISTICS AND PHASE TRANSITIONS [J].
KASTELEYN, PW .
JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (02) :287-&
[7]  
MCCOY BM, 1973, 2 DIMENSIONAL ISING, P47
[8]  
MONTROLL EW, 1964, APPLIED COMBINATORIA, pCH4
[9]  
MONTROLL EW, 1968, BRANDEIS U SUMMER I
[10]   Crystal statistics I A two-dimensional model with an order-disorder transition [J].
Onsager, L .
PHYSICAL REVIEW, 1944, 65 (3/4) :117-149