Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 14859 |
| Fachzeitschrift | Scientific reports |
| Jahrgang | 13 |
| Ausgabenummer | 1 |
| Frühes Online-Datum | 8 Sept. 2023 |
| Publikationsstatus | Veröffentlicht - 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.
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in: Scientific reports, Jahrgang 13, Nr. 1, 14859, 2023.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 -