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

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作者：
Alexander Stottmeister
Tobias J. Osborne
机构：
[1] Institut für Theoretische Physik,
[2] Leibniz Universität Hannover,undefined
来源：
Scientific Reports | / 13卷
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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.
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