Supercurrent Renormalization in $\mathcal{N}=1$ Supersymmetric Yang-Mills Theory
Abstract
In this work we study the renormalization of the SUSY Noether current in Supersymmetric = 1 Yang-Mills (SYM) theory on the lattice. In particular, we study the mixing of the current with all other compatible operators of dimension 7/2 and 5/2, leading from the lattice-regularized to the -renormalized operator basis. We perform our task in two ways: (a) We compute, in dimensional regularization, the conversion factors relating the scheme to an intermediate gauge-invariant coordinate-space scheme. In this second scheme, renormalization can be performed via lattice simulations. This could help to investigate the breaking of SUSY on the lattice and strategies towards simulations of supersymmetric QCD. Here we present some preliminary numerical results. (b) We use lattice perturbation theory and compute, to one loop, various two- and three-point functions. We consider mixing with all relevant gauge-noninvariant operators, which contain also ghost fields.
Keywords
Cite
@article{arxiv.2111.05729,
title = {Supercurrent Renormalization in $\mathcal{N}=1$ Supersymmetric Yang-Mills Theory},
author = {Georg Bergner and Marios Costa and Haralambos Panagopoulos and Stefano Piemonte and Apostolos Skouroupathis and Ivan Soler and Gregoris Spanoudes},
journal= {arXiv preprint arXiv:2111.05729},
year = {2021}
}
Comments
9 pages, 3 figures, Proceedings of the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology