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.
@article{arxiv.1711.00543,
title = {Perturbative Renormalization of Wilson line operators},
author = {M. Constantinou and H. Panagopoulos},
journal= {arXiv preprint arXiv:1711.00543},
year = {2018}
}
Comments
8 pages, 2 figures. Talk presented at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain