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Dynamic critical exponent of the Yang--Lee edge singularity at three loops
Abstract
We compute the dynamic critical exponent z of the Yang--Lee edge singularity in relaxational dynamics using perturbative renormalization-group methods to the three-loop order. The calculation combines diagram reduction, analytic two-loop evaluation via parametric integration with hyperlogarithms, and numerical evaluation of three-loop integrals using the Sector Decomposition method. The perturbative series obtained is resummed using Padé and Padé-Borel-Leroy methods to produce estimates of z in various spatial dimensions. The resulting values are consistent with previous perturbative and functional renormalization-group calculations.
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BibTeX
@misc{adzhemyan2026dynamic,
title = {{Dynamic critical exponent of the Yang--Lee edge singularity at three loops}},
author = {Loran Ts. Adzhemyan and Diana A. Davletbaeva and Daniil A. Evdokimov and Mikhail V. Kompaniets},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.15887},
eprint = {2608.15887},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.15887},
}
RIS
TY - UNPB
TI - Dynamic critical exponent of the Yang--Lee edge singularity at three loops
AU - Loran Ts. Adzhemyan
AU - Diana A. Davletbaeva
AU - Daniil A. Evdokimov
AU - Mikhail V. Kompaniets
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2608.15887
UR - https://arxiv.org/abs/2608.15887
AB - We compute the dynamic critical exponent z of the Yang--Lee edge singularity in relaxational dynamics using perturbative renormalization-group methods to the three-loop order. The calculation combines diagram reduction, analytic two-loop evaluation via parametric integration with hyperlogarithms, and numerical evaluation of three-loop integrals using the Sector Decomposition method. The perturbative series obtained is resummed using Padé and Padé-Borel-Leroy methods to produce estimates of z in various spatial dimensions. The resulting values are consistent with previous perturbative and functional renormalization-group calculations.
ER -