All three-loop four-point correlators of half-BPS operators in planar $ \mathcal{N} $ = 4 SYM

We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for...

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Detalles Bibliográficos
Autores principales: Chicherin, Dmitry, Drummond, James, Heslop, Paul, Sokatchev, Emery
Lenguaje:eng
Publicado: 2015
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP08(2016)053
http://cds.cern.ch/record/2112565
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author Chicherin, Dmitry
Drummond, James
Heslop, Paul
Sokatchev, Emery
author_facet Chicherin, Dmitry
Drummond, James
Heslop, Paul
Sokatchev, Emery
author_sort Chicherin, Dmitry
collection CERN
description We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for the integrand. The coefficients in the ansatz are fixed by means of a powerful light-cone OPE relation between correlators with different weights. Our result is formulated in terms of a limited number of functions built from known one-, two- and three-loop conformal integrals. These results are useful for checking recent integrability predictions for the OPE structure constants.
id cern-2112565
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
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spelling cern-21125652023-10-04T08:13:28Zdoi:10.1007/JHEP08(2016)053http://cds.cern.ch/record/2112565engChicherin, DmitryDrummond, JamesHeslop, PaulSokatchev, EmeryAll three-loop four-point correlators of half-BPS operators in planar $ \mathcal{N} $ = 4 SYMParticle Physics - TheoryWe obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for the integrand. The coefficients in the ansatz are fixed by means of a powerful light-cone OPE relation between correlators with different weights. Our result is formulated in terms of a limited number of functions built from known one-, two- and three-loop conformal integrals. These results are useful for checking recent integrability predictions for the OPE structure constants.We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for the integrand. The coefficients in the ansatz are fixed by means of a powerful light-cone OPE relation between correlators with different weights. Our result is formulated in terms of a limited number of functions built from known one-, two- and three-loop conformal integrals. These results are useful for checking recent integrability predictions for the OPE structure constants.arXiv:1512.02926CERN-PH-TH-2015-294CERN-PH-TH-2015-294oai:cds.cern.ch:21125652015-12-09
spellingShingle Particle Physics - Theory
Chicherin, Dmitry
Drummond, James
Heslop, Paul
Sokatchev, Emery
All three-loop four-point correlators of half-BPS operators in planar $ \mathcal{N} $ = 4 SYM
title All three-loop four-point correlators of half-BPS operators in planar $ \mathcal{N} $ = 4 SYM
title_full All three-loop four-point correlators of half-BPS operators in planar $ \mathcal{N} $ = 4 SYM
title_fullStr All three-loop four-point correlators of half-BPS operators in planar $ \mathcal{N} $ = 4 SYM
title_full_unstemmed All three-loop four-point correlators of half-BPS operators in planar $ \mathcal{N} $ = 4 SYM
title_short All three-loop four-point correlators of half-BPS operators in planar $ \mathcal{N} $ = 4 SYM
title_sort all three-loop four-point correlators of half-bps operators in planar $ \mathcal{n} $ = 4 sym
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP08(2016)053
http://cds.cern.ch/record/2112565
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AT drummondjames allthreeloopfourpointcorrelatorsofhalfbpsoperatorsinplanarmathcaln4sym
AT hesloppaul allthreeloopfourpointcorrelatorsofhalfbpsoperatorsinplanarmathcaln4sym
AT sokatchevemery allthreeloopfourpointcorrelatorsofhalfbpsoperatorsinplanarmathcaln4sym

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