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arXiv · 2304.03224

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

Tobias J. Osborne·Alexander Stottmeister
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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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BibTeXRIS

Tobias J. Osborne, Alexander Stottmeister. 2023-04-06. On the renormalization group fixed point of the two-dimensional Ising model at criticality. https://arxiv.org/abs/2304.03224

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