Duality relations for Potts correlation functions - Comment

被引：6
|
作者：
Jacobsen, JL
机构：
[1] UNIV OXFORD SOMERVILLE COLL,OXFORD OX1 3NP,ENGLAND
[2] UNIV OXFORD,DEPT THEORET PHYS,OXFORD OX1 3NP,ENGLAND
来源：
PHYSICS LETTERS A | 1997年 / 233卷 / 4-6期
关键词：
D O I：
10.1016/S0375-9601(97)00583-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In a recent paper by Wu [Phys. Lett. A 228 (1997) 43] the three-point correlation of the q-state Potts model on a planar graph was related to ratios of dual partition functions under fixed boundary conditions. It was claimed that the method employed could straightforwardly be applied to higher correlations as well; this is however not true. By explicitly considering the four-point correlation we demonstrate how the appearance of non-well-nested connectivities invalidates the method. (C) 1997 Published by Elsevier Science B.V.
引用
收藏
页码：489 / 492
页数：4
相关论文
共 50 条
  • [31] ANTIFERROMAGNETIC POTTS MODELS - COMMENT
    LUBIN, M
    SOKAL, AD
    [J]. PHYSICAL REVIEW LETTERS, 1993, 71 (11) : 1778 - 1778
  • [32] DIGITAL ESTIMATION OF CORRELATION-FUNCTIONS - COMMENT
    BROWNLEE, LR
    [J]. JOURNAL OF SOUND AND VIBRATION, 1974, 32 (04) : 522 - 523
  • [33] Duality Games and Operational Duality Relations
    Bagan, Emilio
    Calsamiglia, John
    Bergou, Janos A.
    Hillery, Mark
    [J]. PHYSICAL REVIEW LETTERS, 2018, 120 (05)
  • [34] RELATIONS BETWEEN MULTIPARTICLE GREEN-FUNCTIONS AND CORRELATION-FUNCTIONS
    TIKHODEEV, SG
    [J]. DOKLADY AKADEMII NAUK SSSR, 1982, 264 (06): : 1378 - 1380
  • [35] S-duality and correlation functions at large R-charge
    Simeon Hellerman
    Shunsuke Maeda
    Domenico Orlando
    Susanne Reffert
    Masataka Watanabe
    [J]. Journal of High Energy Physics, 2021
  • [36] S-duality and correlation functions at large R-charge
    Hellerman, Simeon
    Maeda, Shunsuke
    Orlando, Domenico
    Reffert, Susanne
    Watanabe, Masataka
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (04)
  • [37] DUALITY AND POTTS CRITICAL AMPLITUDES ON A CLASS OF HIERARCHICAL LATTICES
    KAUFMAN, M
    [J]. PHYSICAL REVIEW B, 1984, 30 (01): : 413 - 414
  • [38] Universality and multifractal behaviour of spin-spin correlation functions in disordered Potts models
    Chatelain, C
    Berche, B
    [J]. NUCLEAR PHYSICS B, 2000, 572 (03) : 626 - 650
  • [39] Duality relations for generalized fractional programming involving n-set functions
    Kim, DS
    Jo, CL
    Lee, GM
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1996, 27 (12): : 1167 - 1173
  • [40] CORRELATION INEQUALITIES FOR THE POTTS MODEL
    Grimmett, Geoffrey R.
    [J]. MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS, 2016, 4 (3-4) : 327 - 334
12345