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.
Keywords
Cite
@article{arxiv.2103.09478,
title = {Operator product expansion for the non-local gluon condensate},
author = {V. M. Braun and K. G. Chetyrkin and B. A. Kniehl},
journal= {arXiv preprint arXiv:2103.09478},
year = {2023}
}
Comments
14 pages, a short discussion on the non-local gluon condensate in the context of nonrelativistic QCD (as well as pertinent citations) is added