Operator product expansion of the non-local gluon condensate

Braun, V. M. and Chetyrkin, K. G. and Kniehl, B. A. (2021) Operator product expansion of the non-local gluon condensate. JOURNAL OF HIGH ENERGY PHYSICS (5): 231. ISSN 1029-8479

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Abstract

We consider the short-distance expansion of the product of two gluon field strength tensors connected by a straight-line-ordered Wilson line. The vacuum expectation value of this nonlocal operator is a common object in studies of the QCD vacuum structure, whereas its nucleon expectation value is known as the gluon quasi-parton distribution and is receiving a lot of attention as a tool to extract gluon distribution functions from lattice calculations. Extending our previous study [1], we calculate the three-loop coefficient functions of the scalar operators in the operator product expansion up to dimension four. As a by-product, the three-loop anomalous dimension of the nonlocal two-gluon operator is obtained as well.

Item Type: Article
Uncontrolled Keywords: SHORT-DISTANCE PROPERTIES; COEFFICIENT FUNCTIONS; MASS CORRECTIONS; BETA-FUNCTION; QCD; RENORMALIZATION; CORRELATORS; ENERGY; Deep Inelastic Scattering (Phenomenology); QCD Phenomenology
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 18 Aug 2022 04:31
Last Modified: 18 Aug 2022 04:31
URI: https://pred.uni-regensburg.de/id/eprint/46663

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