Details
| Original language | English |
|---|---|
| Article number | 14859 |
| Journal | Scientific reports |
| Volume | 13 |
| Issue number | 1 |
| Early online date | 8 Sept 2023 |
| Publication status | Published - 2023 |
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.
ASJC Scopus subject areas
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Scientific reports, Vol. 13, No. 1, 14859, 2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the renormalization group fixed point of the two-dimensional Ising model at criticality
AU - Stottmeister, Alexander
AU - Osborne, Tobias J.
N1 - 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).
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85170350551&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2304.03224
DO - 10.48550/arXiv.2304.03224
M3 - Article
C2 - 37684323
AN - SCOPUS:85170350551
VL - 13
JO - Scientific reports
JF - Scientific reports
SN - 2045-2322
IS - 1
M1 - 14859
ER -