SINE-GORDON FIELD-THEORY FOR THE KOSTERLITZ-THOULESS TRANSITIONS ON FLUCTUATING MEMBRANES

Citation
Jm. Park et Tc. Lubensky, SINE-GORDON FIELD-THEORY FOR THE KOSTERLITZ-THOULESS TRANSITIONS ON FLUCTUATING MEMBRANES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(3), 1996, pp. 2665-2669
Citations number
11
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
53
Issue
3
Year of publication
1996
Pages
2665 - 2669
Database
ISI
SICI code
1063-651X(1996)53:3<2665:SFFTKT>2.0.ZU;2-E
Abstract
In the preceding paper [J. M. Park and T. C. Lubersky, Phys. Rev. E 53 , 2648 (1996)] we derived Coulomb-gas and sine-Gordon Hamiltonians to describe the Kosterlitz-Thouless transition on a fluctuating surface. These Hamiltonians contain couplings to a Gaussian curvature that are not found in a rigid flat surface. In this paper, we derive renormaliz ation-group recursion relations for the sine-Gordon model using field- theoretic techniques developed to study hat space problems.