ONSAGER REACTION FIELD FOR THE POTTS-MODEL FROM THE PATH INTEGRAL

被引:9
作者
KHOLODENKO, AL
机构
[1] 375 Hunter Laboratories, Clemson University, Clemson, 29634-1905, South Carolina
关键词
functional integrals; Ising model; Potts model;
D O I
10.1007/BF01020297
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new path integral formulation for the q-state Potts model is proposed. This formulation reproduces known results for the Ising model (q=2) and naturally extends these results for arbitrary q. The mean field results for both the Ising and the Potts models are obtained as a leading saddle point contribution to the corresponding functional integrals, while the systematic computation of corrections to the saddle point contribution produces the Onsager reaction field terms, which for q=2 coincide with results already known for the Ising model. © 1990 Plenum Publishing Corporation.
引用
收藏
页码:355 / 370
页数:16
相关论文
共 20 条
[1]  
Amit DJ., 2005, FIELD THEORY RENORMA, V3rd
[2]   RENORMALIZATION AND PHASE-TRANSITIONS IN POTTS PHI-3-FIELD THEORY WITH QUADRATIC AND TRILINEAR SYMMETRY-BREAKING [J].
BARBOSA, MC ;
GUSMAO, MA ;
THEUMANN, WK .
PHYSICAL REVIEW B, 1986, 34 (05) :3165-3176
[3]   POTTS MODEL AT CRITICAL-TEMPERATURE [J].
BAXTER, RJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (23) :L445-L448
[4]   SPIN-GLASSES - EXPERIMENTAL FACTS, THEORETICAL CONCEPTS, AND OPEN QUESTIONS [J].
BINDER, K ;
YOUNG, AP .
REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :801-976
[5]   TESTING APPROXIMATE THEORIES OF 1ST-ORDER PHASE-TRANSITIONS ON THE TWO-DIMENSIONAL POTTS-MODEL [J].
DASGUPTA, C ;
PANDIT, R .
JOURNAL OF STATISTICAL PHYSICS, 1987, 47 (3-4) :375-396
[6]   INFLUENCE OF THE REACTION FIELD ON THE NATURE OF THE PHASE-TRANSITION IN THE POTTS-MODEL [J].
DEKEYSER, R ;
MARITAN, A ;
STELLA, AL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (08) :1713-1720
[7]  
FISHER ME, 1983, LECTURE NOTES PHYSIC, V186
[8]   REAL SPACE RENORMALIZATION-GROUP METHOD FOR THE DILUTE GAUSSIAN MODEL AND ITS RELATION TO THE RANDOM-WALK PROBLEMS NEAR THE PERCOLATION-THRESHOLD [J].
KHOLODENKO, AL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (16) :3227-3250
[9]  
LUBENSKY T, 1979, LES HOUCHES, V31, P408
[10]  
Mezard M., 1987, SPIN GLASS THEORY IN, V9