Journal of High Energy Physics (May 2021)

Operator product expansion of the non-local gluon condensate

  • V. M. Braun,
  • K. G. Chetyrkin,
  • B. A. Kniehl

DOI
https://doi.org/10.1007/JHEP05(2021)231
Journal volume & issue
Vol. 2021, no. 5
pp. 1 – 13

Abstract

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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.

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