Critical Ising Model in Varying Dimension by Conformal Bootstrap
| Title: | Critical Ising Model in Varying Dimension by Conformal Bootstrap |
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| Authors: | Cappelli, Andrea, Maffi, Lorenzo, Okuda, Satoshi |
| Publication Year: | 2018 |
| Collection: | Condensed Matter High Energy Physics - Theory |
| Subject Terms: | High Energy Physics - Theory, Condensed Matter - Statistical Mechanics |
| More Details: | The single-correlator conformal bootstrap is solved numerically for several values of dimension 4>d>2 using the available SDPB and Extremal Functional methods. Critical exponents and other conformal data of low-lying states are obtained over the entire range of dimensions with up to four-decimal precision and then compared with several existing results. The conformal dimensions of leading-twist fields are also determined up to high spin, and their d-dependence shows how the conformal states rearrange themselves around d=2.2 for matching the Virasoro conformal blocks in the d=2 limit. The decoupling of states at the Ising point is studied for 3>d>2 and the vanishing of one structure constant at d=3 is found to persist till d=2 where it corresponds to a Virasoro null-vector condition. Comment: 43 pages, 15 figures, 7 tables, numerical data and Mathematica files are available upon request; v2: epsilon-expansion data added |
| Document Type: | Working Paper |
| DOI: | 10.1007/JHEP01(2019)161 |
| Access URL: | http://arxiv.org/abs/1811.07751 |
| Accession Number: | edsarx.1811.07751 |
| Database: | arXiv |
| DOI: | 10.1007/JHEP01(2019)161 |
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