Sine-Gordon Field Theory for the Kosterlitz-Thouless Transitions on Fluctuating Membranes

Abstract

In the preceding paper, we derived Coulomb-gas and sine-Gordon Hamiltonians to describe the Kosterlitz-Thouless transition on a fluctuating surface. These Hamiltonians contain couplings to Gaussian curvature not found in a rigid flat surface. In this paper, we derive renormalization-group recursion relations for the sine-Gordon model using field-theoretic techniques developed to study flat space problems.

REVTEX, 14 pages with 6 postscript figures compressed using uufiles. Accepted for publication in Phys. Rev. E

References in corpus (2)

• Measure Factors, Tension, and Correlations of Fluid Membranes
• Topological Defects on Fluctuating Surfaces: General Properties and the Kosterlitz-Thouless Transition

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• The Kosterlitz-Thouless Transitions on Fluctuating Surface of Genus Zero
• Exact Renormalization Group and Sine Gordon Theory
• Renormalization Group Flow of Hexatic Membranes
• Renormalization of Fluctuating Tilted-Hexatic Membranes
• Holographic Beta functions for the Generalized Sine Gordon Theory
• Effective models of membranes from symmetry breaking