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)