グラディエントフローによる正則化非依存な超カレントの構成

We construct a regularization-independent representation of the supercurrent-the Noether current associated with supersymmetry-in the four-dimensional N = 1 and N = 2 supersymmetric Yang-Mills theories.For this, we employ the so-called gradient flow.The gradient flow is the evolution of quantum fields along a fictitious time according to diffusion-type equations.A salient feature of the gradient flow is that composite operators (i.e., local products) of flowed fields automatically become renormalized ultraviolet finite operators under the ordinary parameter renormalization of the original field theory.This implies that any operator represented by flowed fields (and renormalized parameters) is independent of the regularization.We obtain such a representation for the supercurrent in the above supersymmetric gauge theories by combining a detailed one-loop level analysis of supersymmetric Ward-Takahashi identities in the Wess-Zumino gauge and the small flow-time expansion.We believe that our representation of the properly-normalized conserved supercurrent will be very useful, for instance, in the parameter tuning toward the supersymmetric point in the future lattice numerical simulations of the above mentioned supersymmetric gauge theories.