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arXiv · 1711.00543

Perturbative Renormalization of Wilson line operators

M. Constantinou·H. Panagopoulos
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Abstract

We present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover fermions and a wide class of Symanzik improved gluon actions. The extended nature of such `long-link' operators results in a nontrivial renormalization, including contributions which diverge linearly as well as logarithmically with the lattice spacing, along with additional finite factors. We present nonperturbative prescriptions to extract the linearly divergent contributions.

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M. Constantinou, H. Panagopoulos. 2017-11-01. Perturbative Renormalization of Wilson line operators. https://doi.org/10.1051/epjconf/201817506025

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