Wave-function renormalization for the Coulomb-gas in Wegner-Houghton's RG method
I. Nandori, J. Polonyi, K. Sailer
TL;DR
This paper applies the Wegner-Houghton renormalization group method to the sine-Gordon model, providing higher-order corrections to the Coulomb-gas RG flow and confirming known results in the dilute gas limit.
Contribution
It introduces a systematic approach to compute higher-order corrections to the Coulomb-gas RG flow using the Wegner-Houghton method.
Findings
RG flow matches dilute gas approximation for small fugacity
Higher-order corrections to Coulomb-gas RG flow are systematically derived
Method confirms known phase transition behavior in the sine-Gordon model
Abstract
The RG flow for the sine-Gordon model is determined by means of the method of Wegner and Houghton in next-to-leading order of the derivative expansion. For small values of the fugacity this agrees with the well-known RG flow of the two-dimensional Coulomb-gas found in the dilute gas approximation and a systematic way of obtaining higher-order corrections to this approximation is given.
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