Non-gaussianity of the critical 3d Ising model
Slava Rychkov, David Simmons-Duffin, Bernardo Zan
SciPost Phys. 2, 001 (2017) · published 10 February 2017
- doi: 10.21468/SciPostPhys.2.1.001
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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.
Cited by 16
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Slava Rychkov,
- 4 5 David Simmons-Duffin,
- 3 6 Bernardo Zan
- 1 Organisation européenne pour la recherche nucléaire / European Organization for Nuclear Research [CERN]
- 2 Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]
- 3 École Normale Supérieure [ENS]
- 4 California Institute of Technology [CalTech]
- 5 Institute for Advanced Study [IAS]
- 6 École Polytechnique Fédérale de Lausanne [EPFL]
Funders for the research work leading to this publication