Nonperturbative renormalization of the supercurrent in N=1 supersymmetric Yang-Mills theory

In this work, we study the nonperturbative renormalization of the supercurrent operator in N = 1 supersymmetric Yang-Mills theory, using a gauge-invariant renormalization scheme (GIRS). The proposed prescription addresses successfully the unwanted mixing of the supercurrent with other operators of equal or lower dimension, which respect the same global symmetries. This mixing is introduced by the unavoidable breaking of supersymmetry on the lattice. In GIRS all gauge-noninvariant operators, which mix with the supercurrent, are excluded from the renormalization procedure. The one remaining mixing operator is accessible by numerical simulations. We present results for the renormalization of the supercurrent using GIRS. We also compute at one-loop order the conversion matrix which relates the nonperturbative renormalization factors in GIRS to the reference scheme MS.

Automated summary

In this work, the nonperturbative renormalization of the supercurrent operator in N = 1 supersymmetric Yang-Mills theory is studied, using a gauge-invariant renormalization scheme (GIRS). The proposed prescription successfully addresses the issue of unwanted mixing between the supercurrent and other operators of equal or lower dimension which respect the same global symmetries. This mixing is introduced due to the unavoidable breaking of supersymmetry on the lattice.