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

authored by
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.

Organisation(s)
Institute of Theoretical Physics
Type
Article
Journal
Scientific reports
Volume
13
ISSN
2045-2322
Publication date
2023
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
General
Electronic version(s)
https://doi.org/10.48550/arXiv.2304.03224 (Access: Open)
https://doi.org/10.1038/s41598-023-42005-4 (Access: Open)