Nonperturbative renormalization of the supercurrent in N=1 supersymmetric Yang-Mills theory
Journal
Physical Review D
Date Issued
February 1, 2022
Author(s)
DOI
10.1103/PhysRevD.107.034502
Abstract
In this work, we study the nonperturbative renormalization of the
supercurrent operator in $\mathcal{N} = 1$ Supersymmetric Yang-Mills (SYM)
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 a GIRS
scheme. We also compute at one-loop order the conversion matrix which relates
the nonperturbative renormalization factors in GIRS to the reference scheme
$\bar{\rm MS}$.
supercurrent operator in $\mathcal{N} = 1$ Supersymmetric Yang-Mills (SYM)
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 a GIRS
scheme. We also compute at one-loop order the conversion matrix which relates
the nonperturbative renormalization factors in GIRS to the reference scheme
$\bar{\rm MS}$.
Subjects