SMOOTH PATHS ON 3-DIMENSIONAL LATTICE

被引：6

作者：

ITOI, C

机构：

[1] Department of Physics, College of Science and Technology, Nihon University, Chiyoda-ku

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 73卷 / 25期

关键词：

D O I：

10.1103/PhysRevLett.73.3335

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A particular class of random walks with a spin factor on a three-dimensional cubic lattice is studied. This three-dimensional random walk model is a simple generalization of random walk for the two-dimensional Ising model. All critical diffusion constants and associated critical exponents are calculated. Continuum field theories such as Klein-Gordon, Dirac, and massive Chern-Simons theories are constructed near several critical points. © 1994 The American Physical Society.

引用

页码：3335 / 3338

页数：4

共 21 条

[1] PROPAGATOR FOR THE RELATIVISTIC SPINNING PARTICLE VIA FUNCTIONAL INTEGRAL OVER TRAJECTORIES
ALEKSEEV, AY
SHATASHVILI, SL
[J]. MODERN PHYSICS LETTERS A, 1988, 3 (16) : 1551 - 1559
[2] A RANDOM-WALK REPRESENTATION OF THE DIRAC PROPAGATOR
AMBJORN, J
DURHUUS, B
JONSSON, T
[J]. NUCLEAR PHYSICS B, 1990, 330 (2-3) : 509 - 522
[3] [Anonymous], GENERALIZED COHERENT
[4] EQUIVALENCE OF SEVERAL CHERN-SIMONS MATTER MODELS
CHEN, W
ITOI, C
[J]. PHYSICAL REVIEW LETTERS, 1994, 72 (16) : 2527 - 2530
[5] Fernandez R., 1992, RANDOM WALKS CRITICA
[6] TOPOLOGICAL TERMS IN ONE-DIMENSIONAL AND TWO-DIMENSIONAL QUANTUM HEISENBERG ANTIFERROMAGNETS
FRADKIN, E
STONE, M
[J]. PHYSICAL REVIEW B, 1988, 38 (10): : 7215 - 7218
[7] EXACT PARTITION FUNCTION FOR 2-DIMENSIONAL ISING MODEL
GLASSER, ML
[J]. AMERICAN JOURNAL OF PHYSICS, 1970, 38 (08) : 1033 - &
[8] THE SPIN FACTOR IN KNOTS AND A RELATIVISTIC TREATMENT OF THE BOSE-FERMI TRANSMUTATION IN 2ND-QUANTIZED THEORIES
ISO, S
ITOI, C
MUKAIDA, H
[J]. NUCLEAR PHYSICS B, 1990, 346 (2-3) : 293 - 312
[9] GEOMETRIC DESCRIPTION FOR SPINNING PARTICLES IN 3 DIMENSIONS AND CHERN-SIMONS-POLYAKOV THEORY
ISO, S
ITOI, C
MUKAIDA, H
[J]. PHYSICS LETTERS B, 1990, 236 (03) : 287 - 290
[10] BOSONIC PATH INTEGRAL FOR SPIN-1/2 PARTICLES
JACOBSON, T
[J]. PHYSICS LETTERS B, 1989, 216 (1-2) : 150 - 154

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