TY - JOUR

T1 - Remark on the energy-momentum tensor in the lattice formulation of 4D N=1 SYM

AU - Suzuki, Hiroshi

N1 - Funding Information:
I am indebted to Martin Lüscher for discussions at the workshop “New Frontiers in Lattice Gauge Theory” held at the Galileo Galilei Institute for Theoretical Physics, Arcetri, Florence, of which the present work grew out. I would like to thank also the workshop organizers for their great hospitality and participants of the workshop for enjoyable discussions. This work is supported in part by a Grant-in-Aid for Scientific Research , 22340069 and 23540330 .

PY - 2013/2/26

Y1 - 2013/2/26

N2 - In a recent paper, Suzuki (2013) [1], we presented a possible definition of the energy-momentum tensor in the lattice formulation of the four-dimensional 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 Suzuki (2013) [1].

AB - In a recent paper, Suzuki (2013) [1], we presented a possible definition of the energy-momentum tensor in the lattice formulation of the four-dimensional 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 Suzuki (2013) [1].

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U2 - 10.1016/j.physletb.2013.01.028

DO - 10.1016/j.physletb.2013.01.028

M3 - Article

AN - SCOPUS:84873569356

SN - 0370-2693

VL - 719

SP - 435

EP - 439

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 4-5

ER -