Non-gaussianity of the critical 3d Ising model

Rychkov, Slava; Simmons-Duffin, David; Zan, Bernardo

doi:10.21468/SciPostPhys.2.1.001

SciPost Physics

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.2.1.001
TI  - Non-gaussianity of the critical 3d Ising model
PY  - 2017/02/10
UR  - https://www.scipost.org/SciPostPhys.2.1.001
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 2
IS  - 1
SP  - 001
A1  - Rychkov, Slava
AU  - Simmons-Duffin, David
AU  - Zan, Bernardo
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.2.1.001,
	title={{Non-gaussianity of the critical 3d Ising model}},
	author={Slava Rychkov and David Simmons-Duffin and Bernardo Zan},
	journal={SciPost Phys.},
	volume={2},
	pages={001},
	year={2017},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.2.1.001},
	url={https://scipost.org/10.21468/SciPostPhys.2.1.001},
}

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Ontology / Topics

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3d Ising model Conformal bootstrap Ising model

Authors / Affiliations: mappings to Contributors and Organizations

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¹ ² ³ Slava Rychkov,
⁴ ⁵ David Simmons-Duffin,
³ ⁶ Bernardo Zan

Funders for the research work leading to this publication