Ferrara-Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D N=1 SYM
Ferrara-Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D N=1 SYM
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Ferrara-Zumino 超多重态和 4D N=1 SYM 晶格公式中的能量动量张量
DOI：
10.1016/j.nuclphysb.2012.11.023
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发表时间：
2013
影响因子：
2.8
通讯作者：
Hiroshi Suzuki
中科院分区：
文献类型：
--
作者：
H.B. Nielsen;M. Ninomiya;Satoshi Iso;Hiroshi Suzuki
众所周知，经典四维超对称杨-米尔斯理论（4DSYM）中的诺特流，即电流、超对称（SUSY）电流和能量-动量张量，在SUSY下形成一个多重子，称为费拉拉-苏米诺超多重子。受此结构的启发，我们通过晶格SUSY电流的重整化超变换来定义4DSYM晶格公式中的能量-动量张量。通过使用重归一化的SUSY Ward—Takahashi关系，证明了这样构造的能量-动量张量在量子连续统极限下是守恒的。我们的能量动量张量构造非常明确，可用于非微扰数值模拟。
It is well-known that Noether currents in the classical four-dimensionalsupersymmetric Yang--Mills theory (4DSYM), i.e., thecurrent, the supersymmetry (SUSY) current and the energy-momentum tensor, form a multiplet under SUSY, called the Ferrara--Zumino supermultiplet. Inspired by this structure, we define the energy-momentum tensor in the lattice formulation of 4DSYM by a renormalized super transformation of a lattice SUSY current. By using a renormalized SUSY Ward--Takahashi relation, the energy-momentum tensor so constructed is shown to be conserved in the quantum continuum limit. Our construction of the energy-momentum tensor is very explicit and usable in non-perturbative numerical simulations.