Wilson Loop Expectations in Lattice Gauge Theories with Finite Gauge Groups

被引：12
|
作者：
Cao, Sky [1 ]
机构：
[1] Stanford Univ, Dept Stat, Sequoia Hall,390 Jane Stanford Way, Stanford, CA 94305 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2020年 / 380卷 / 03期
关键词：
D O I：
10.1007/s00220-020-03912-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional conditions. This continues recent work of Chatterjee, which considered the case of gauge group Z(2). The main steps are (1) reducing the first order computation to a problem of Poisson approximation, and (2) using Stein's method to carry out the Poisson approximation.
引用
收藏
页码：1439 / 1505
页数：67
相关论文
共 50 条
  • [1] Wilson Loop Expectations in Lattice Gauge Theories with Finite Gauge Groups
    Sky Cao
    Communications in Mathematical Physics, 2020, 380 : 1439 - 1505
  • [2] Wilson loops in finite Abelian lattice gauge theories
    Forsstrom, Malin P.
    Lenells, Jonatan
    Viklund, Fredrik
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2022, 58 (04): : 2129 - 2164
  • [3] SURFACE REPRESENTATIONS OF WILSON LOOP EXPECTATIONS IN LATTICE GAUGE-THEORY
    BRYDGES, DC
    GIFFEN, C
    DURHUUS, B
    FROHLICH, J
    NUCLEAR PHYSICS B, 1986, 275 (03) : 459 - 487
  • [4] Loop approach to lattice gauge theories
    Mathur, Manu
    NUCLEAR PHYSICS B, 2007, 779 (1-2) : 32 - 62
  • [5] LOOP CALCULUS FOR LATTICE GAUGE-THEORIES
    GAMBINI, R
    LEAL, L
    TRIAS, A
    PHYSICAL REVIEW D, 1989, 39 (10): : 3127 - 3135
  • [6] The three-loop β-function of SU(N) lattice gauge theories with Wilson fermions
    Christou, C
    Feo, A
    Panagopoulos, H
    Vicari, E
    NUCLEAR PHYSICS B, 1998, 525 (1-2) : 387 - 400
  • [7] ANALYTICAL CALCULATIONS OF LARGE WILSON LOOP AVERAGES IN THE ABELIAN LATTICE GAUGE-THEORIES
    XUE, SS
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1988, 10 (04) : 445 - 467
  • [8] Wilson loop and dimensional reduction in noncommutative gauge theories
    Lee, S
    Sin, SJ
    PHYSICAL REVIEW D, 2001, 64 (08)
  • [9] On the chiral limit in lattice gauge theories with Wilson fermions
    Hoferichter, A
    Mitrjushkin, VK
    MullerPreussker, M
    ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1997, 74 (03): : 541 - 548
  • [10] THE CROSSOVER POINTS IN LATTICE GAUGE-THEORIES WITH CONTINUOUS GAUGE GROUPS
    CVITANOVIC, P
    GREENSITE, J
    LAUTRUP, B
    PHYSICS LETTERS B, 1981, 105 (2-3) : 197 - 200
12345