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Percolation is the best known example of geometrical phase transition. In two dimensions a plethora of exact results were derived at criticality (critical exponents, crossing probabilities) using Conformal Field Theory. In this talk I will discuss a possible field theoretical description for the scaling region of off-critical percolation, exploiting the $q\rightarrow 1$ limit of the integrable q-color Potts field theory. I will apply the formalism to the computation of universal amplitude ratios and off-critical crossing probabilities. All the predictions can be checked by numerical simulations.

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Jacopo Viti, SISSA
Trieste
Contact: not specified