Perturbative renormalization of the supercurrent operator in lattice N=1 supersymmetric Yang-Mills theory

In this work we perform a perturbative study of the Noether supercurrent operator in the context of supersymmetric N = 1 Yang-Mills theory on the lattice. The supercurrent mixes with several other operators, some of which are not gauge invariant, having the same quantum numbers. We determine, to one-loop order, the renormalization and all corresponding mixing coefficients by computing the relevant Green's functions of each one of the mixing operators with external elementary fields. Our calculations are performed both in dimensional and lattice regularization. From the first regularization we obtain theMS & macr;-renormalized Green's functions; comparison of the latter with the corresponding Green's functions in the lattice regularization leads to the extraction of the lattice renormalization factors and mixing coefficients in theMS & macr; scheme. The lattice calculations are performed to lowest order in the lattice spacing, using Wilson gluons and clover improved gluinos. The lattice results can be used in nonperturbative studies of supersymmetric Ward identities.

Automated summary

In this work, we perturbatively study the Noether supercurrent operator in the lattice formulation of supersymmetric N = 1 Yang-Mills theory, determining renormalization and mixing coefficients. The lattice results have potential applications in nonperturbative studies.