PreprintarXiv licencearXiv
Two dimensional Villain model in the BKT phase
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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BibTeX
@misc{park2026dimensional,
title = {{Two dimensional Villain model in the BKT phase}},
author = {Jiwoon Park and Wei Wu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10083},
eprint = {2610.10083},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10083},
}
RIS
TY - UNPB
TI - Two dimensional Villain model in the BKT phase
AU - Jiwoon Park
AU - Wei Wu
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.10083
UR - https://arxiv.org/abs/2610.10083
AB - 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.
ER -