Non-gaussianity of the critical 3d Ising model
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 .
- Authors:
-
- European Organization for Nuclear Research, French National Centre for Scientific Research, École Normale Supérieure
- California Institute of Technology, Institute for Advanced Study, Princeton University
- European Organization for Nuclear Research, École Polytechnique Fédérale de Lausanne
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1373140
- Grant/Contract Number:
- SC0009988
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 2 Journal Issue: 1; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Country of Publication:
- Netherlands
- Language:
- English
Citation Formats
Rychkov, Slava, Simmons-Duffin, David, and Zan, Bernardo. Non-gaussianity of the critical 3d Ising model. Netherlands: N. p., 2017.
Web. doi:10.21468/SciPostPhys.2.1.001.
Rychkov, Slava, Simmons-Duffin, David, & Zan, Bernardo. Non-gaussianity of the critical 3d Ising model. Netherlands. https://doi.org/10.21468/SciPostPhys.2.1.001
Rychkov, Slava, Simmons-Duffin, David, and Zan, Bernardo. Fri .
"Non-gaussianity of the critical 3d Ising model". Netherlands. https://doi.org/10.21468/SciPostPhys.2.1.001.
@article{osti_1373140,
title = {Non-gaussianity of the critical 3d Ising model},
author = {Rychkov, Slava and Simmons-Duffin, David and Zan, Bernardo},
abstractNote = {We discuss the 4pt function of the critical 3d Ising model, extracted from recent conformal bootstrap results. We focus on the non-gaussianity Q 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 Q to lie between 1/3 1 / 3 and 1 1 .},
doi = {10.21468/SciPostPhys.2.1.001},
journal = {SciPost Physics},
number = 1,
volume = 2,
place = {Netherlands},
year = {Fri Feb 10 00:00:00 EST 2017},
month = {Fri Feb 10 00:00:00 EST 2017}
}
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https://doi.org/10.21468/SciPostPhys.2.1.001
https://doi.org/10.21468/SciPostPhys.2.1.001
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Cited by: 14 works
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