Marginal Operator Deformations and Pseudocriticality in Baxter--Wu Models
Abstract
Weak first-order transitions can exhibit extended pseudocritical scaling regimes that mimic genuine criticality. We show that the long-debated apparent criticality of the dilute Baxter--Wu model arises from a marginally relevant renormalization-group flow, which ultimately drives the system into a first-order regime with phase coexistence. By integrating conformal perturbation theory with symmetry-resolved tensor-network level spectroscopy, we parameterize a slowly running coupling in a numerically accessible form and construct a generic flow-based diagnostic. The renormalization-group trajectories of the dilute and self-dual Baxter--Wu models under marginal operator deformations collapse onto the multicritical phase diagram of the dilute four-state Potts model, exposing the flow structure on both the marginally relevant and irrelevant sides of the Potts point.
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BibTeX
@misc{lee2026marginal,
title = {{Marginal Operator Deformations and Pseudocriticality in Baxter--Wu Models}},
author = {Hyun-Yong Lee and Naoki Kawashima and Nikolaos G. Fytas and Dong-Hee Kim},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06435},
eprint = {2611.06435},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06435},
}
RIS
TY - UNPB
TI - Marginal Operator Deformations and Pseudocriticality in Baxter--Wu Models
AU - Hyun-Yong Lee
AU - Naoki Kawashima
AU - Nikolaos G. Fytas
AU - Dong-Hee Kim
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06435
UR - https://arxiv.org/abs/2611.06435
AB - Weak first-order transitions can exhibit extended pseudocritical scaling regimes that mimic genuine criticality. We show that the long-debated apparent criticality of the dilute Baxter--Wu model arises from a marginally relevant renormalization-group flow, which ultimately drives the system into a first-order regime with phase coexistence. By integrating conformal perturbation theory with symmetry-resolved tensor-network level spectroscopy, we parameterize a slowly running coupling in a numerically accessible form and construct a generic flow-based diagnostic. The renormalization-group trajectories of the dilute and self-dual Baxter--Wu models under marginal operator deformations collapse onto the multicritical phase diagram of the dilute four-state Potts model, exposing the flow structure on both the marginally relevant and irrelevant sides of the Potts point.
ER -