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

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

1995-12-13

arxiv.org/abs/cond-mat/9512109v1

Phys.Rev. E53 (1996) 2665

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevE.53.2665

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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