Supercurrent renormalization of $\mathcal{N}=1$ supersymmetric Yang-Mills theory on the lattice

Abstract

Supersymmetry on the lattice is explicitly broken by the gluino mass and lattice artifacts. However, it can be restored in the continuum limit by fine tuning the parameters based on the renormalized Ward identities. On the renormalization step not only the mass but also the renormalization of the supercurrent needs to be addressed. Here we present a lattice investigation to obtain the renormalization factors of the supercurrent for $\mathcal{N}$=1 Super-Yang Mills theory in a gauge invariant renormalization scheme. We also provide the conversion factors which are necessary in order to translate our results to the more standard $\overline{\text{MS}}$ scheme.

Comments: 10 pages, 3 figures. Contribution to the 39th International Symposium on Lattice Field Theory, 8th-13th August, 2022, Bonn, Germany