Work

Dynamic critical exponent of the Yang--Lee edge singularity at three loops

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.15887

Authors: Adzhemyan, Loran Ts., Davletbaeva, Diana A., Evdokimov, Daniil A., Kompaniets, Mikhail V.

Institutions: St Petersburg University, Joint Institute for Nuclear Research

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Ministry of Science and Higher Education of the Russian Federation

Awards: G3470516004, G6444257319

OpenAlex ID: W7203709177

Cites: 2

Cited by: 1

Related to: 10