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

被引：0
|
作者：
Giacomo Gori
Jacopo Viti
机构：
[1] Università di Padova,Dipartimento di Fisica e Astronomia “Galileo Galilei”
[2] CNR-IOM,ECT & International Institute of Physics
[3] UFRN,undefined
来源：
Journal of High Energy Physics | / 2018卷
关键词：
Boundary Quantum Field Theory; Conformal Field Theory; Random Systems;
D O I：
暂无
中图分类号：
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.
引用
收藏
相关论文
共 19 条
  • [1] Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
    Gori, Giacomo
    Viti, Jacopo
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (12):
  • [2] Three- and four-point connectivities of two-dimensional critical Q-Potts random clusters on the torus
    Javerzat, Nina
    Picco, Marco
    Santachiara, Raoul
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2020, 2020 (05):
  • [3] Geometrical four-point functions in the two-dimensional critical Q-state Potts model: the interchiral conformal bootstrap
    He, Yifei
    Jacobsen, Jesper Lykke
    Saleur, Hubert
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (12)
  • [4] Geometrical four-point functions in the two-dimensional critical Q-state Potts model: the interchiral conformal bootstrap
    Yifei He
    Jesper Lykke Jacobsen
    Hubert Saleur
    Journal of High Energy Physics, 2020
  • [5] Geometrical four-point functions in the two-dimensional critical Q-state Potts model: connections with the RSOS models
    He, Yifei
    Grans-Samuelsson, Linnea
    Jacobsen, Jesper Lykke
    Saleur, Hubert
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (05)
  • [6] Perturbative four-point functions from the analytic conformal bootstrap
    Henriksson, Johan
    Lukowski, Tomasz
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (02):
  • [7] Perturbative four-point functions from the analytic conformal bootstrap
    Johan Henriksson
    Tomasz Lukowski
    Journal of High Energy Physics, 2018
  • [8] Conformal four-point correlation functions from the operator product expansion
    Jean-François Fortin
    Valentina Prilepina
    Witold Skiba
    Journal of High Energy Physics, 2020
  • [9] Conformal four-point correlation functions from the operator product expansion
    Fortin, Jean-Francois
    Prilepina, Valentina
    Skiba, Witold
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (08)
  • [10] Two-Dimensional Critical Percolation: The Full Scaling Limit
    Federico Camia
    Charles M. Newman
    Communications in Mathematical Physics, 2006, 268 : 1 - 38
12