https://doi.org/10.1140/epjc/s10052-021-09173-x
Regular Article - Theoretical Physics
Renormalization and mixing of the Gluino-Glue operator on the lattice
1
Department of Physics, University of Cyprus, 1678, Nicosia, Cyprus
2
Department of Mechanical Engineering and Materials Science and Engineering, Cyprus University of Technology, 3036, Limassol, Cyprus
3
Department of Physics, Imperial College London, SW7 2AZ, London, UK
Received:
2
February
2021
Accepted:
21
April
2021
Published online:
8
May
2021
We study the mixing of the Gluino-Glue operator in 
Supersymmetric Yang–Mills theory (SYM), both in dimensional regularization and on the lattice. We calculate its renormalization, which is not merely multiplicative, due to the fact that this operator can mix with non-gauge invariant operators of equal or, on the lattice, lower dimension. These operators carry the same quantum numbers under Lorentz transformations and global gauge transformations, and they have the same ghost number. We compute the one-loop quantum correction for the relevant two-point and three-point Green’s functions of the Gluino-Glue operator. This allows us to determine renormalization factors of the operator in the 
scheme, as well as the mixing coefficients for the other operators. To this end our computations are performed using dimensional and lattice regularizations. We employ a standard discretization where gluinos are defined on lattice sites and gluons reside on the links of the lattice; the discretization is based on Wilson’s formulation of non-supersymmetric gauge theories with clover improvement. The number of colors, 
, the gauge parameter, 
, and the clover coefficient, 
, are left as free parameters.
© The Author(s) 2021
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
