1209.5155 (Hiroshi Suzuki)

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

Hiroshi Suzuki

In a recent paper, arXiv:1209.2473, 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 (4D $\mathcal{N}=1$ SYM), that restores the conservation law in the quantum continuum limit. In the present note, we propose a quite similar but somewhat different definition of the energy-momentum tensor (that also conserves 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 previous construction.

View original: http://arxiv.org/abs/1209.5155