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

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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
关键词
Boundary Quantum Field Theory; Conformal Field Theory; Random Systems;
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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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