Critical Ising Model in Varying Dimension by Conformal Bootstrap
| Title: | Critical Ising Model in Varying Dimension by Conformal Bootstrap |
|---|---|
| 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 |
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| Items | – Name: Title Label: Title Group: Ti Data: Critical Ising Model in Varying Dimension by Conformal Bootstrap – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Cappelli%2C+Andrea%22">Cappelli, Andrea</searchLink><br /><searchLink fieldCode="AR" term="%22Maffi%2C+Lorenzo%22">Maffi, Lorenzo</searchLink><br /><searchLink fieldCode="AR" term="%22Okuda%2C+Satoshi%22">Okuda, Satoshi</searchLink> – Name: DatePubCY Label: Publication Year Group: Date Data: 2018 – Name: Subset Label: Collection Group: HoldingsInfo Data: Condensed Matter<br />High Energy Physics - Theory – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22High+Energy+Physics+-+Theory%22">High Energy Physics - Theory</searchLink><br /><searchLink fieldCode="DE" term="%22Condensed+Matter+-+Statistical+Mechanics%22">Condensed Matter - Statistical Mechanics</searchLink> – Name: Abstract Label: Description Group: Ab Data: 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.<br />Comment: 43 pages, 15 figures, 7 tables, numerical data and Mathematica files are available upon request; v2: epsilon-expansion data added – Name: TypeDocument Label: Document Type Group: TypDoc Data: Working Paper – Name: DOI Label: DOI Group: ID Data: 10.1007/JHEP01(2019)161 – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/1811.07751" linkWindow="_blank">http://arxiv.org/abs/1811.07751</link> – Name: AN Label: Accession Number Group: ID Data: edsarx.1811.07751 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/JHEP01(2019)161 Subjects: – SubjectFull: High Energy Physics - Theory Type: general – SubjectFull: Condensed Matter - Statistical Mechanics Type: general Titles: – TitleFull: Critical Ising Model in Varying Dimension by Conformal Bootstrap Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Cappelli, Andrea – PersonEntity: Name: NameFull: Maffi, Lorenzo – PersonEntity: Name: NameFull: Okuda, Satoshi IsPartOfRelationships: – BibEntity: Dates: – D: 19 M: 11 Type: published Y: 2018 |
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