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Functional Dimensional Regularization for the Lee-Yang Model
Abstract
We apply functional dimensional regularization (FDR) to the Lee-Yang universality class, a paradigmatic non-unitary theory, and compute its main critical exponents across the dimension range 3≤ d≤ 6. By combining a second-order derivative expansion with polynomial field expansions, we obtain results that are compatible with resummed ε-expansion as well as with state-of-the-art estimates from Conformal Bootstrap and Fuzzy Sphere techniques. This demonstrates that, in the context of non-unitary theories, FDR retains the efficiency and rapid convergence to accurate critical exponents already observed in the Ising and O(N) cases.
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BibTeX
@misc{beretta2026functional,
title = {{Functional Dimensional Regularization for the Lee-Yang Model}},
author = {Piero Beretta and Carlos A. Sánchez-Villalobos and Alessandro Codello},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03318},
eprint = {2611.03318},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03318},
}
RIS
TY - UNPB
TI - Functional Dimensional Regularization for the Lee-Yang Model
AU - Piero Beretta
AU - Carlos A. Sánchez-Villalobos
AU - Alessandro Codello
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03318
UR - https://arxiv.org/abs/2611.03318
AB - We apply functional dimensional regularization (FDR) to the Lee-Yang universality class, a paradigmatic non-unitary theory, and compute its main critical exponents across the dimension range 3≤ d≤ 6. By combining a second-order derivative expansion with polynomial field expansions, we obtain results that are compatible with resummed ε-expansion as well as with state-of-the-art estimates from Conformal Bootstrap and Fuzzy Sphere techniques. This demonstrates that, in the context of non-unitary theories, FDR retains the efficiency and rapid convergence to accurate critical exponents already observed in the Ising and O(N) cases.
ER -