SciPost Thesis Link
| Title: | Universal properties of two-dimensional percolation | |
| Author: | Jacopo Viti | |
| As Contributor: | (not claimed) | |
| Type: | Ph.D. | |
| Field: | Physics | |
| Specialties: |
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| Approach: | Theoretical | |
| URL: | http://www.statphys.sissa.it/statistical/tesi_phd1/thesis_viti.pdf | |
| Degree granting institution: | SISSA | |
| Supervisor(s): | Prof. Gesualdo Delfino | |
| Defense date: | Sept. 17, 2012 |
Abstract:
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.