Perturbative Renormalization of Wilson line operators

Martha Constantinou; Haralambos Panagopoulos

doi:10.1051/epjconf/201817506025

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 175, 06025 (2018)
https://doi.org/10.1051/epjconf/201817506025

Perturbative Renormalization of Wilson line operators

Martha Constantinou¹ and Haralambos Panagopoulos²^*

¹ Department of Physics, Temple University, Philadelphia, PA 19122 - 1801, USA
² Department of Physics, University of Cyprus, POB 20537, 1678 Nicosia, Cyprus

^* Speaker, e-mail: haris@ucy.ac.cy

Published online: 26 March 2018

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.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).