Gauge-invariant renormalization of the gluino-glue operator

Abstract

We study the Gluino-Glue operator in the context of Supersymmetric N=1 Yang-Mills (SYM) theory. This composite operator is gauge invariant, and it is directly connected to light bound states of the theory; its renormalization is very important as a necessary step for the study of low-lying bound states via numerical simulations. We make use of a Gauge-Invariant Renormalization Scheme (GIRS). This requires the calculation of the Green's function of a product of two Gluino-Glue operators, situated at distinct space-time points. Within this scheme, the mixing with non-gauge invariant operators which have the same quantum numbers is inconsequential. We compute the one-loop conversion factor relating the GIRS scheme to MS‾. This conversion factor can be used in order to convert to MS‾ Green's functions which are obtained via lattice simulations and are renormalized nonperturbatively in GIRS.