A renormalization group analysis of the Kosterlitz-Thouless phase
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We consider a classical Coulomb gas with a short distance cutoff in two dimensions; equivalently a Sine-Gordon field theory. For low temperature β-1 and low activityz the gas is in a multipole phase, the Kosterlitz-Thouless phase. For β>8π andz sufficiently small we give a complete renormalization group analysis for this phase and show that the flow of the effective measures is toward a free field (infrared asymptotic freedom). This should lead to control over the long distance behavior of the theory.
KeywordsRenormalization Group Fourier Mode Infinite Volume Renormalization Group Analysis Renormalization Group Transformation
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