n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order

Abstract We compute, to the lowest perturbative order in SU(N) Yang-Mills theory, n-point correlators in the coordinate and momentum representation of the gauge-invariant twist-2 operators with maximal spin along the p + direction, both in Minkowskian and — by analytic continuation — Euclidean space...

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Main Authors: Marco Bochicchio, Mauro Papinutto, Francesco Scardino
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2021)142
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author Marco Bochicchio
Mauro Papinutto
Francesco Scardino
author_facet Marco Bochicchio
Mauro Papinutto
Francesco Scardino
author_sort Marco Bochicchio
collection DOAJ
description Abstract We compute, to the lowest perturbative order in SU(N) Yang-Mills theory, n-point correlators in the coordinate and momentum representation of the gauge-invariant twist-2 operators with maximal spin along the p + direction, both in Minkowskian and — by analytic continuation — Euclidean space-time. We also construct the corresponding generating functionals. Remarkably, they have the structure of the logarithm of a functional determinant of the identity plus a term involving the effective propagators that act on the appropriate source fields.
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spelling doaj.art-5d39bed696ad4f669106fb2a8a28707a2022-12-21T22:31:17ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021817510.1007/JHEP08(2021)142n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative orderMarco Bochicchio0Mauro Papinutto1Francesco Scardino2Physics Department, INFN Roma1Physics Department, INFN Roma1Physics Department, INFN Roma1Abstract We compute, to the lowest perturbative order in SU(N) Yang-Mills theory, n-point correlators in the coordinate and momentum representation of the gauge-invariant twist-2 operators with maximal spin along the p + direction, both in Minkowskian and — by analytic continuation — Euclidean space-time. We also construct the corresponding generating functionals. Remarkably, they have the structure of the logarithm of a functional determinant of the identity plus a term involving the effective propagators that act on the appropriate source fields.https://doi.org/10.1007/JHEP08(2021)142Perturbative QCDRenormalization Group
spellingShingle Marco Bochicchio
Mauro Papinutto
Francesco Scardino
n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order
Journal of High Energy Physics
Perturbative QCD
Renormalization Group
title n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order
title_full n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order
title_fullStr n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order
title_full_unstemmed n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order
title_short n-point correlators of twist-2 operators in SU(N) Yang-Mills theory to the lowest perturbative order
title_sort n point correlators of twist 2 operators in su n yang mills theory to the lowest perturbative order
topic Perturbative QCD
Renormalization Group
url https://doi.org/10.1007/JHEP08(2021)142
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AT mauropapinutto npointcorrelatorsoftwist2operatorsinsunyangmillstheorytothelowestperturbativeorder
AT francescoscardino npointcorrelatorsoftwist2operatorsinsunyangmillstheorytothelowestperturbativeorder