Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance

被引：13
作者：
Gori, Giacomo [1 ,2 ]
Viti, Jacopo [3 ,4 ]
机构：
[1] Univ Padua, Dipartimento Fis & Astron Galileo Galilei, I-35131 Padua, Italy
[2] CNR IOM, Via Bonomea 265, I-34136 Trieste, Italy
[3] Univ Fed Rio Grande do Norte, ECT, Campos Univ, BR-59078970 Natal, RN, Brazil
[4] Univ Fed Rio Grande do Norte, Int Inst Phys, Campos Univ, BR-59078970 Natal, RN, Brazil
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 12期
关键词：
Boundary Quantum Field Theory; Conformal Field Theory; Random Systems; BROWNIAN INTERSECTION EXPONENTS; SOLUTION SPACE; FIELD-THEORY; STRUCTURE CONSTANTS; GROWTH-PROCESSES; CENTRAL CHARGE; SLE; CLUSTERS; SYSTEM; VALUES;
D O I：
10.1007/JHEP12(2018)131
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We conjecture an exact form for an universal ratio of four-point cluster connectivities in the critical two-dimensional Q-color Potts model. We also provide analogous results for the limit Q 1 that corresponds to percolation where the observable has a logarithmic singularity. Our conjectures are tested against Monte Carlo simulations showing excellent agreement for Q = 1, 2, 3.
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页数：28
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共 74 条
  • [1] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY
    AFFLECK, I
    [J]. PHYSICAL REVIEW LETTERS, 1986, 56 (07) : 746 - 748
  • [2] [Anonymous], ARXIV14064290
  • [3] [Anonymous], 1944, Ordinary Differential Equations
  • [4] [Anonymous], 1997, GRADUATE TEXTS CONT
  • [5] Conformal transformations and the SLE partition function martingale
    Bauer, M
    Bernard, D
    [J]. ANNALES HENRI POINCARE, 2004, 5 (02): : 289 - 326
  • [6] CFTs of SLEs: the radial-case
    Bauer, M
    Bernard, D
    [J]. PHYSICS LETTERS B, 2004, 583 (3-4) : 324 - 330
  • [7] Conformal field theories of stochastic Loewner evolutions
    Bauer, M
    Bernard, D
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 239 (03) : 493 - 521
  • [8] SLE martingales and the Virasoro algebra
    Bauer, M
    Bernard, D
    [J]. PHYSICS LETTERS B, 2003, 557 (3-4) : 309 - 316
  • [9] SLEκ growth processes and conformal field theories
    Bauer, M
    Bernard, D
    [J]. PHYSICS LETTERS B, 2002, 543 (1-2) : 135 - 138
  • [10] 2D growth processes: SLE and Loewner chains
    Bauer, Michel
    Bernard, Denis
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 432 (3-4): : 115 - 221
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