Benchmarking the Ising universality class in $3 \le d < 4$ dimensions
Claudio Bonanno, Andrea Cappelli, Mikhail Kompaniets, Satoshi Okuda, Kay Joerg Wiese
SciPost Phys. 14, 135 (2023) · published 30 May 2023
- doi: 10.21468/SciPostPhys.14.5.135
- Submissions/Reports
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 $3 \le d < 4$.
Cited by 1
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Claudio Bonanno,
- 1 Andrea Cappelli,
- 2 3 Mikhail Kompaniets,
- 4 Satoshi Okuda,
- 5 Kay Joerg Wiese
- 1 INFN Sezione di Firenze / INFN Sezione di Firenze [INFN]
- 2 Объединённый институт ядерных исследований / Joint Institute for Nuclear Research [JINR]
- 3 Санкт-Петербургский государственный / Saint Petersburg State University [SPbU]
- 4 立教大学 / Rikkyo University
- 5 Laboratoire de Physique de l’École Normale Supérieure / Physics Laboratory of the École Normale Supérieure [LPENS]
- Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])