Benchmarking the Ising Universality Class in 3 ≤ d < 4 dimensions
Claudio Bonanno1, Andrea Cappelli1, Mikhail Kompaniets2,3, Satoshi Okuda4, Kay Jörg Wiese5
1INFN, Sezione di Firenze, Via G. Sansone 1, 50019 Sesto Fiorentino (FI), Italy
2Saint Petersburg State University, 7/9 Universitetskaya Embankment, St. Petersburg, 199034 Russia
3Bogoliubov Laboratory of Theoretical Physics, JINR, 6 Joliot-Curie, Dubna, 141980 Russia
2
Department of Physics, Rikkyo University Toshima, Tokyo 171-8501, Japan
5CNRS-Laboratoire de Physique de
l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Universités, Université Paris-Diderot, Sorbonne Paris Cité
24 rue Lhomond, 75005 Paris, France
Abstract
The Ising critical exponents $\eta$, $\nu$ and $\omega$ are determined up to one-per-thousand relative error in the whole range of dimensions $3 \le d < 4$, using numerical conformal-bootstrap techniques. A detailed comparison is made with results by the resummed epsilon-expansion in varying dimension, the analytic bootstrap, Monte Carlo and non-perturbative renormalization-group methods, finding very good overall agreement. Precise conformal field-theory data of scaling dimensions and structure constants are obtained as functions of dimension, improving on earlier findings, and providing benchmarks in $3 \le d < 4$.
arXiv:2210.03051 [pdf]
SciPost Phys. 14 (2023) 135 [pdf]
Copyright (C)
by Kay Wiese. Last edited October 4, 2022.