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

Jeong-Man Park·T. C. Lubensky
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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.

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Jeong-Man Park, T. C. Lubensky. 1995-12-13. Sine-Gordon Field Theory for the Kosterlitz-Thouless Transitions on Fluctuating Membranes. https://doi.org/10.1103/physreve.53.2665

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