%0 Journal Article %1 Stottmeister2023 %A Stottmeister, Alexander %A Osborne, Tobias J. %D 2023 %J Scientific Reports %K #rank1 myown %N 1 %P 14859 %R 10.1038/s41598-023-42005-4 %T On the renormalization group fixed point of the two-dimensional Ising model at criticality %U https://doi.org/10.1038/s41598-023-42005-4 %V 13 %X 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.

@article{Stottmeister2023, 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.}, added-at = {2024-02-06T08:26:08.000+0100}, author = {Stottmeister, Alexander and Osborne, Tobias J.}, biburl = {https://www.bibsonomy.org/bibtex/2db09e1f9c9da7d4c88df469eee58d5d5/tobiasosborne}, day = 08, doi = {10.1038/s41598-023-42005-4}, interhash = {021928d690b29a24b9ada7cd89f86441}, intrahash = {db09e1f9c9da7d4c88df469eee58d5d5}, issn = {2045-2322}, journal = {Scientific Reports}, keywords = {#rank1 myown}, month = sep, number = 1, pages = 14859, timestamp = {2024-02-06T08:26:08.000+0100}, title = {On the renormalization group fixed point of the two-dimensional Ising model at criticality}, url = {https://doi.org/10.1038/s41598-023-42005-4}, volume = 13, year = 2023 }