Operator product expansion for the non-local gluon condensate

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, 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.

arXiv comment14 pages, a short discussion on the non-local gluon condensate in the context of nonrelativistic QCD (as well as pertinent citations) is added

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Cited by in corpus (3)

• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• Nonlocal gluon condensates in QCD sum rules
• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory