Ferrara-Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D N=1 SYM

It is well-known that Noether currents in the classical four-dimensional N = 1 supersymmetric Yang-Mills theory (4D N = 1 SYM), i.e., the U(1)(A) current, the supersymmetry (SUSY) current and the energy-momentum tensor, form a multiplet under SUSY, called the Ferrara-Zumino supermultiplet. Inspired by this structure, we define the energy-momentum tensor in the lattice formulation of 4D N = 1 SYM by a renormalized super transformation of a lattice SUSY current. By using a renormalized SUSY Ward-Takahashi relation, the energy-momentum tensor so constructed is shown to be conserved in the quantum continuum limit. Our construction of the energy-momentum tensor is very explicit and usable in non-perturbative numerical simulations. (C) 2012 Elsevier B.V. All rights reserved.