Coulomb-Gas Approach For Percolation Theory

TL;DR

This paper demonstrates the effectiveness of Coulomb gas techniques in Boundary Conformal Field Theory by re-deriving a key percolation result originally obtained by Cardy, confirming the method's power.

Contribution

It provides a novel derivation of Cardy's percolation result using Coulomb gas methods within BCFT, highlighting the approach's validity.

Findings

Re-derivation of Cardy's percolation result using Coulomb gas techniques

Confirmation of Coulomb gas methods as powerful tools in BCFT

Validation of Coulomb gas approach for boundary problems in conformal field theory

Abstract

The aim of this work is to present a non trivial confirmation of the powerful of the Coulomb gas-techniques for Boundary Conformal Field Theory (BCFT). We show that we can re-derive the known Cardy result of percolation problem via the technics developed by S. Kawai in the Coulomb-Gas formalism.