A crossing probability for critical percolation in two dimensions

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Abstract

Langlands et al considered two crossing probabilities, pi(h) and pi(hv), in their extensive numerical investigations of critical percolation in two dimensions. Cardy was able to find the exact form of pi(h) by treating it as a correlation function of boundary operators in the Q --> 1 limit of the Q-state Potts model. We extend his results to find an analogous formula for pi(hv) which compares very well with the numerical results.

Original languageEnglish
Pages (from-to)L363-L368
Number of pages6
JournalJOURNAL OF PHYSICS A MATHEMATICAL AND GENERAL
Volume29
Issue number14
DOIs
Publication statusPublished - 21 Jul 1996

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