Implications of script N sign = 1 supersymmetry for QCD conformal operators

A. V. Belitsky; D. Müller; A. Schäfer

doi:10.1016/S0370-2693(99)00146-X

Implications of script N sign = 1 supersymmetry for QCD conformal operators

A. V. Belitsky, D. Müller, A. Schäfer

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the script N sign = 1 superconformal group. We evaluate the rotation matrices for the quantities under study from the conventional dimensional regularization to the supersymmetry preserving regularization scheme. Using them we verify the equalities in two-loop approximation employing the results for the NLO anomalous dimensions of the conformal operators in the minimal subtraction scheme derived earlier.

Original language	English (US)
Pages (from-to)	126-135
Number of pages	10
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	450
Issue number	1-3
DOIs	https://doi.org/10.1016/S0370-2693(99)00146-X
State	Published - 1999
Externally published	Yes

Keywords

Anomalous dimensions
Conformal operators
Dimensional reduction
Superconformal algebra
Ward identities

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0370-2693(99)00146-X

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title = "Implications of script N sign = 1 supersymmetry for QCD conformal operators",

abstract = "We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the script N sign = 1 superconformal group. We evaluate the rotation matrices for the quantities under study from the conventional dimensional regularization to the supersymmetry preserving regularization scheme. Using them we verify the equalities in two-loop approximation employing the results for the NLO anomalous dimensions of the conformal operators in the minimal subtraction scheme derived earlier.",

keywords = "Anomalous dimensions, Conformal operators, Dimensional reduction, Superconformal algebra, Ward identities",

author = "Belitsky, {A. V.} and D. M{\"u}ller and A. Sch{\"a}fer",

note = "Funding Information: This work was supported by BMBF and the Alexander von Humboldt Foundation (A.B.). ",

year = "1999",

doi = "10.1016/S0370-2693(99)00146-X",

language = "English (US)",

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journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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TY - JOUR

T1 - Implications of script N sign = 1 supersymmetry for QCD conformal operators

AU - Belitsky, A. V.

AU - Müller, D.

AU - Schäfer, A.

N1 - Funding Information: This work was supported by BMBF and the Alexander von Humboldt Foundation (A.B.).

PY - 1999

Y1 - 1999

N2 - We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the script N sign = 1 superconformal group. We evaluate the rotation matrices for the quantities under study from the conventional dimensional regularization to the supersymmetry preserving regularization scheme. Using them we verify the equalities in two-loop approximation employing the results for the NLO anomalous dimensions of the conformal operators in the minimal subtraction scheme derived earlier.

AB - We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the script N sign = 1 superconformal group. We evaluate the rotation matrices for the quantities under study from the conventional dimensional regularization to the supersymmetry preserving regularization scheme. Using them we verify the equalities in two-loop approximation employing the results for the NLO anomalous dimensions of the conformal operators in the minimal subtraction scheme derived earlier.

KW - Anomalous dimensions

KW - Conformal operators

KW - Dimensional reduction

KW - Superconformal algebra

KW - Ward identities

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DO - 10.1016/S0370-2693(99)00146-X

M3 - Article

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SN - 0370-2693

VL - 450

SP - 126

EP - 135

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-3

ER -

Implications of script N sign = 1 supersymmetry for QCD conformal operators

Abstract

Keywords

ASJC Scopus subject areas

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