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Non-gaussianity of the critical 3d Ising model

Rychkov, Slava and Simmons-Duffin, David and Zan, Bernardo (2017) Non-gaussianity of the critical 3d Ising model. SciPost Physics, 2 (1). pp. 1-9. ISSN 2542-4653.

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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.

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URLURL TypeDescription Paper
Rychkov, Slava0000-0002-5847-1011
Simmons-Duffin, David0000-0002-2937-9515
Zan, Bernardo0000-0002-5218-5540
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).
Funding AgencyGrant Number
National Centre of CompetenceUNSPECIFIED
Swiss National Science FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0009988
Institute for Advanced Study William D. Loughlin MembershipUNSPECIFIED
Simons Foundation488655
Simons Foundation488657
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Record Number:CaltechAUTHORS:20170817-113958355
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ID Code:80564
Deposited By: Ruth Sustaita
Deposited On:18 Aug 2017 21:35
Last Modified:03 Oct 2019 18:32

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