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

被引：0

作者：

Stottmeister, Alexander ^{[1
]}

Osborne, Tobias J. ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Theoret Phys, Appelstr 2, D-30167 Hannover, Germany

来源：

SCIENTIFIC REPORTS | 2023年 / 13卷 / 01期

关键词：

D O I：

10.1038/s41598-023-42005-4

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：8

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