학술논문

On the renormalization group fixed point of the two-dimensional Ising model at criticality.
Document Type
Article
Source
Scientific Reports. 9/8/2023, Vol. 13 Issue 1, p1-8. 8p.
Subject
*RENORMALIZATION group
*ISING model
*TWO-dimensional models
*POINT set theory
*STATISTICAL correlation
*RENORMALIZATION (Physics)
Language
ISSN
2045-2322
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. [ABSTRACT FROM AUTHOR]