Remark on the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM

Abstract

In a recent paper, arXiv:1209.2473 \cite{Suzuki:2012gi}, we presented a possible definition of the energy-momentum tensor in the lattice formulation of the four-dimensional $\mathcal{N}=1$ supersymmetric Yang--Mills theory, that is conserved in the quantum continuum limit. In the present Letter, we propose a quite similar but somewhat different definition of the energy-momentum tensor (that is also conserved in the continuum limit) which is superior in several aspects: In the continuum limit, the origin of the energy automatically becomes consistent with the supersymmetry and the number of renormalization constants that require a (non-perturbative) determination is reduced to two from four, the number of renormalization constants appearing in the construction in Ref. \cite{Suzuki:2012gi}.

13 pages, the final version to appear in Phys. Lett. B

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Cited by in corpus (3)

• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields
• Space-time symmetries and the Yang-Mills gradient flow
• Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM