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Title:  Universal properties of two-dimensional percolation
Author:  Jacopo Viti
As Contributor:   (not claimed)
Type: Ph.D.
Field: Physics
  • Mathematical Physics
Approach: Theoretical
Degree granting institution:  SISSA
Supervisor(s): Prof. Gesualdo Delfino
Defense date:  2012-09-17


This thesis deals with universal properties of two-dimensional percolation. We expand the field-theoretical approach to study cluster connectivites both at the critical point and in the scaling region around it in. Relevant results include a complete field theoretical determination of the amplitude ratios and a conjecture for the structure constants of the order parameter. The latter is based on the analytic continuation of the Dotsenko-Fateev structure constants and suggest an interpretation for Al. Zamolodchikov's Imaginary Liouville three-point function in the context of statistical mechanics.

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