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

• URL: http://arxiv.org/abs/2304.03224v1
• Date: Thu, 6 Apr 2023 16:57:28 GMT
• Title: On the renormalization group fixed point of the two-dimensional Ising model at criticality
• Authors: Tobias J. Osborne and Alexander Stottmeister
• Abstract summary: We show that a simple, explicit analytic description of a fixed point using operator-algebraic renormalization (OAR) is possible. Specifically, the fixed point is characterized in terms of spin-spin correlation functions.
• Score: 77.34726150561087
• License: http://creativecommons.org/licenses/by/4.0/
• 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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