Remark on the energy-momentum tensor in the lattice formulation of 4D \(\mathcal{N} = 1\) SYM. (English) Zbl 1370.81137
Summary: In [Nucl. Phys., B 868, No. 2, 459–475 (2013; Zbl 1262.81118)], 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 [loc. cit.].
MSC:
81T25 | Quantum field theory on lattices |
81T13 | Yang-Mills and other gauge theories in quantum field theory |
81T60 | Supersymmetric field theories in quantum mechanics |
Citations:
Zbl 1262.81118References:
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