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

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.

SUBMITTER: Stottmeister A

PROVIDER: S-EPMC10491843 | biostudies-literature | 2023 Sep

REPOSITORIES: biostudies-literature

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

Stottmeister Alexander A Osborne Tobias J TJ

Scientific reports 20230908 1

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. ...[more]

PMID: 37684323

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