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

Year: 2018

Authors: Gori G., Viti J.

Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, I-35131 Padua, Italy; CNR IOM, Via Bonomea 265, I-34136 Trieste, Italy; Univ Fed Rio Grande do Norte, ECT, Campos Univ, BR-59078970 Natal, RN, Brazil; Univ Fed Rio Grande do Norte, Int Inst Phys, Campos Univ, BR-59078970 Natal, RN, Brazil.

Abstract: 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.

Journal/Review: JOURNAL OF HIGH ENERGY PHYSICS

Volume: (12)      Pages from: 131-1  to: 131-28

KeyWords: Boundary Quantum Field Theory; Conformal Field Theory; Random Systems
DOI: 10.1007/JHEP12(2018)131

Citations: 13
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