28 July 2024 to 3 August 2024
Europe/London timezone

Gluon nonlocal operator mixing in lattice QCD

2 Aug 2024, 12:15
20m
Talk Structure of Hadrons and Nuclei Structure of hadrons and nuclei

Speaker

Demetrianos Gavriel (University of Cyprus)

Description

In this study, we explore the renormalization of a comprehensive set of gauge-invariant gluon nonlocal operators on the lattice. We calculate the renormalization factors for these operators in the modified Minimal Subtraction $(\rm \overline{MS})$ scheme up to one-loop, utilizing both dimensional and lattice regularizations in the Wilson gluon action. To facilitate a non-perturbative renormalization approach, we examine an appropriate version of the modified regularization-invariant (${\rm RI}'$) scheme and determine the conversion factors from this scheme to $\rm\overline{MS}$. Additionally, by employing symmetry arguments on the lattice, we identify the mixing pattern of these operators under renormalization.

Primary authors

Demetrianos Gavriel (University of Cyprus) Haralambos Panagopoulos (University of Cyprus) Gregoris Spanoudes (University of Cyprus)

Presentation materials