Gradient flow equation in SQCD

Abstract

We propose a supersymmetric gradient flow in $\mathcal{N}=1$ SQCD in four dimensions. The flow equation is derived in the superfield formalism and is also given for component fields of the Wess-Zumino gauge in a gauge covariant manner. We find that the flow for the component fields is supersymmetric in a sense that the flow time derivative and any supersymmetry transformation commute with each other up to a gauge transformation.

Comments: 7 pages, 37th International Symposium on Lattice Field Theory - Lattice2019