Phys. Rev. Lett. 78, 4320–4323 (1997)Liouville Field Theory of Fluctuating LoopsReceived 12 December 1996; published in the issue dated 9 June 1997 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. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.4320
DOI:
10.1103/PhysRevLett.78.4320
PACS:
05.50.+q, 64.60.Ak, 64.60.Fr
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