%0 Journal Article %1 suzuki2012ferrarazumino %A Suzuki, Hiroshi %D 2012 %K Lattice MiscLatticeSusyApproaches SYM %T Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $N=1$ SYM %U http://arxiv.org/abs/1209.2473 %X 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 conserve in the quantum continuum limit. Our construction of the energy-momentum tensor is very explicit and usable in non-perturbative numerical simulations.

@article{suzuki2012ferrarazumino, abstract = {It is well-known that Noether currents in the classical four-dimensional $\mathcal{N}=1$ supersymmetric Yang--Mills theory (4D $\mathcal{N}=1$ 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 $\mathcal{N}=1$ 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 conserve in the quantum continuum limit. Our construction of the energy-momentum tensor is very explicit and usable in non-perturbative numerical simulations.}, added-at = {2012-09-13T11:38:18.000+0200}, author = {Suzuki, Hiroshi}, biburl = {https://www.bibsonomy.org/bibtex/2b8ef7773169bcc47bb671ac6da1d043e/gber}, description = {Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM}, interhash = {d7894457ff68935024ef18877767d0d8}, intrahash = {b8ef7773169bcc47bb671ac6da1d043e}, keywords = {Lattice MiscLatticeSusyApproaches SYM}, note = {cite arxiv:1209.2473Comment: 26 pages}, timestamp = {2012-09-13T11:38:18.000+0200}, title = {Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM}, url = {http://arxiv.org/abs/1209.2473}, year = 2012 }