Remark on the energy-momentum tensor in the lattice formulation of 4D N=1 SYM
Remark on the energy-momentum tensor in the lattice formulation of 4D N=1 SYM
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关于4D N=1 SYM晶格公式中能量动量张量的备注
DOI：
10.1016/j.physletb.2013.01.028
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Hiroshi Suzuki
中科院分区：
文献类型：
--
作者：
Nobuyuki Ishibashi;Koichi Murakami;Satoshi Iso;Hiroshi Suzuki
在最近的一篇论文Suzuki(2013)[1]中，我们给出了四维N=1超对称Yang-Mills理论的晶格形式中能量动量张量的一个可能的定义，它在量子连续谱极限中守恒。在这封信中，我们提出了一个非常相似但略有不同的能量动量张量的定义(在连续极限中也是守恒的)，它在几个方面更优越：在连续极限中，能量的起源自动变得与超对称性一致，需要(非微扰)确定的重整化常数的数量从四个减少到两个，这是Suzuki(2013)[1]中构造中出现的重整化常数的数量。
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].