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On the renormalization group fixed point of the two-dimensional Ising model at criticality

verfasst von: Alexander Stottmeister, Tobias J. Osborne
Abstract: We analyze the renormalization group fixed point of the two-dimensional Ising model at criticality. In contrast with expectations from tensor network renormalization (TNR), we show that a simple, explicit analytic description of this fixed point using operator-algebraic renormalization (OAR) is possible. Specifically, the fixed point is characterized in terms of spin-spin correlation functions. Explicit error bounds for the approximation of continuum correlation functions are given.
Organisationseinheit(en): Institut für Theoretische Physik
Typ: Artikel
Journal: Scientific reports
Band: 13
ISSN: 2045-2322
Publikationsdatum: 2023
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Allgemein
Elektronische Version(en): https://doi.org/10.48550/arXiv.2304.03224 (Zugang: Offen)
https://doi.org/10.1038/s41598-023-42005-4 (Zugang: Offen)

BibTeX

@article{69e6fc0c8d9c40afa13b200b3a58f32d,
title = "On the renormalization group fixed point of the two-dimensional Ising model at criticality",
abstract = "We analyze the renormalization group fixed point of the two-dimensional Ising model at criticality. In contrast with expectations from tensor network renormalization (TNR), we show that a simple, explicit analytic description of this fixed point using operator-algebraic renormalization (OAR) is possible. Specifically, the fixed point is characterized in terms of spin-spin correlation functions. Explicit error bounds for the approximation of continuum correlation functions are given.",
author = "Alexander Stottmeister and Osborne, {Tobias J.}",
note = "Funding Information: This work was supported, in part, by the Quantum Valley Lower Saxony, the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Project-ID 274200144 – SFB 1227, and under Germanys Excellence Strategy EXC-2123 QuantumFrontiers 390837967. AS was in part supported by the MWK Lower Saxony within the Stay Inspired program (Project-ID 15-76251-2-Stay-9/22-16583/2022). ",
year = "2023",
doi = "10.48550/arXiv.2304.03224",
language = "English",
volume = "13",
journal = "Scientific reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",
number = "1",
}

Letzte Änderung: 27.09.23; Dr. A. Wanner Druckversion