Field theory approach to percolation and phase separation in two dimensions
Jacopo Viti, LPTENS
In 1+1 dimensions it exists a special class of Quantum Field Theories, the so-called Integrable QFT, for which an exact S-matrix can be written and correlation functions computed with a great accuracy. I will discuss some recent applications of Integrable QFT to the study of the percolation phase transition in two dimensions. Particular emphasis will be given to the results that have been tested numerically. In the final part of the talk I will describe how the same formalism can be applied to analyze the structure of the interfaces between two pure phases.