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

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 poss...

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Autores principales: Stottmeister, Alexander, Osborne, Tobias J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10491843/
https://www.ncbi.nlm.nih.gov/pubmed/37684323
http://dx.doi.org/10.1038/s41598-023-42005-4
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author Stottmeister, Alexander
Osborne, Tobias J.
author_facet Stottmeister, Alexander
Osborne, Tobias J.
author_sort Stottmeister, Alexander
collection PubMed
description 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.
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spelling pubmed-104918432023-09-10 On the renormalization group fixed point of the two-dimensional Ising model at criticality Stottmeister, Alexander Osborne, Tobias J. Sci Rep Article 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. Nature Publishing Group UK 2023-09-08 /pmc/articles/PMC10491843/ /pubmed/37684323 http://dx.doi.org/10.1038/s41598-023-42005-4 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Stottmeister, Alexander
Osborne, Tobias J.
On the renormalization group fixed point of the two-dimensional Ising model at criticality
title On the renormalization group fixed point of the two-dimensional Ising model at criticality
title_full On the renormalization group fixed point of the two-dimensional Ising model at criticality
title_fullStr On the renormalization group fixed point of the two-dimensional Ising model at criticality
title_full_unstemmed On the renormalization group fixed point of the two-dimensional Ising model at criticality
title_short On the renormalization group fixed point of the two-dimensional Ising model at criticality
title_sort on the renormalization group fixed point of the two-dimensional ising model at criticality
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10491843/
https://www.ncbi.nlm.nih.gov/pubmed/37684323
http://dx.doi.org/10.1038/s41598-023-42005-4
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