Liouville Field Theory of Fluctuating Loops

Preprint

12 March 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9703113

Abstract

Effective field theories of two-dimensional lattice models of fluctuating loops are constructed by mapping them onto random surfaces whose large scale fluctuations are described by a Liouville field theory. This provides a geometrical view of conformal invariance in two-dimensional critical phenomena and a method for calculating critical properties of loop models exactly. As an application of the method, the conformal charge and critical exponents for two mutually excluding Hamiltonian walks on the square lattice are calculated.

Keywords

EFFECTIVE FIELD THEORIES
LIOUVILLE FIELD THEORY
CRITICAL PHENOMENA
FLUCTUATING LOOPS
LOOPS EFFECTIVE
CONFORMAL
LATTICE

All Related Versions

Version 1, 1997-03-12, ArXiv
Published version: Physical Review Letters, 78 (23), 4320.

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