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arXiv · 2610.10083

Two dimensional Villain model in the BKT phase

Jiwoon Park·Wei Wu
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Abstract

We establish sharp two-point function asymptotics for the two dimensional Villain model at sufficiently low temperatures, confirming a central prediction in the Berezinskii-Kosterlitz-Thouless theory. We characterise the power law exponent through the renormalisation group flow of a marginal line defect observable in the dual high-temperature Discrete Gaussian model.

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Jiwoon Park, Wei Wu. 2026-10-07. Two dimensional Villain model in the BKT phase. https://arxiv.org/abs/2610.10083

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