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
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.