On the power divergence in quasi gluon distribution function

A bstract Recent perturbative calculation of quasi gluon distribution function at one-loop level shows the existence of extra linear ultraviolet divergences in the cut-off scheme. We employ the auxiliary field approach, and study the renormalization of gluon operators. The non-local gluon operator c...

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Bibliographic Details
Published in:The journal of high energy physics 2018-05, Vol.2018 (5), p.1-26, Article 142
Main Authors: Wang, Wei, Zhao, Shuai
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Distribution functions
Divergence
Elementary Particles
High energy physics
Lattice QCD
Mathematical analysis
Operators (mathematics)
Perturbative QCD
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract Recent perturbative calculation of quasi gluon distribution function at one-loop level shows the existence of extra linear ultraviolet divergences in the cut-off scheme. We employ the auxiliary field approach, and study the renormalization of gluon operators. The non-local gluon operator can mix with new operators under renormalization, and the linear divergences in quasi distribution function can be into the newly introduced operators. After including the mixing, we find the improved quasi gluon distribution functions contain only logarithmic divergences, and thus can be used to extract the gluon distribution in large momentum effective theory.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2018)142