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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 1262.81118

References:

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