Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields

Abstract

Local products of fields deformed by the so-called Yang--Mills gradient flow become renormalized composite operators. This fact has been utilized to construct a correctly normalized conserved energy--momentum tensor in the lattice formulation of the pure Yang--Mills theory. In the present paper, this construction is further generalized for vector-like gauge theories containing fermions.

Comments: 32 pages, added an appendix, errors in the one-loop calculation were corrected