Published February 10, 2017
| Version Submitted + Published
Journal Article
Open
Non-gaussianity of the critical 3d Ising model
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1.
European Organization for Nuclear Research
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2.
French National Centre for Scientific Research
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3.
École Normale Supérieure - PSL
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4.
California Institute of Technology
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5.
Princeton University
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6.
École Polytechnique Fédérale de Lausanne
Abstract
We discuss the 4pt function of the critical 3d Ising model, extracted from recent conformal bootstrap results. We focus on the non-gaussianity Q - the ratio of the 4pt function to its gaussian part given by three Wick contractions. This ratio reveals significant non-gaussianity of the critical fluctuations. The bootstrap results are consistent with a rigorous inequality due to Lebowitz and Aizenman, which limits Q to lie between 1/3 and 1.
Additional Information
© 2017 Rychkov et al. This work is licensed under the Creative Commons. Received 22-12-2016 Accepted 08-02-2017 Published 10-02-2017 SR is grateful to IHES where this work was initiated, and especially to Hugo Duminil-Copin for explaining the Lebowitz-Aizenman inequality. DSD thanks Clay Córdova for discussions. We thank Ulli Wolff for pointing out [15, 16]. SR and BZ are supported by the National Centre of Competence in Research SwissMAP funded by the Swiss National Science Foundation. DSD is supported by DOE grant number DE-SC0009988 and a William D. Loughlin Membership at the Institute for Advanced Study. DSD and SR are supported by the Simons Foundation grants 488655 and 488657 (Simons collaboration on the Non-perturbative bootstrap).Attached Files
Published - SciPostPhys_2_1_001.pdf
Submitted - 1612.02436.pdf
Files
1612.02436.pdf
Additional details
Identifiers
- Eprint ID
- 80564
- Resolver ID
- CaltechAUTHORS:20170817-113958355
Related works
- Describes
- https://arxiv.org/abs/1612.02436 (URL)
Funding
- National Centre of Competence
- Swiss National Science Foundation
- Department of Energy (DOE)
- DE-SC0009988
- Institute for Advanced Study William D. Loughlin Membership
- Simons Foundation
- 488655
- Simons Foundation
- 488657
Dates
- Created
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2017-08-18Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Physics Department