四维$\mathcal{N}=1$ SYM晶格中的Ferrara-Zumino超多重态和能量动量张量
Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM
摘要：
众所周知，经典四维$\mathcal{N}=1$超对称杨-米尔斯理论（4D $\mathcal{N}=1$ SYM）中的Noether流，即，$U(1)_A$电流、超对称（SUSY）电流和能量-动量张量在SUSY下形成多重态，称为费拉拉-祖米诺超多重态。受这种结构的启发，我们定义的能量动量张量的晶格配方的4D $\mathcal{N}=1$ SYM的重整化超对称电流的晶格超变换。利用重整化的SUSY Ward-Takahashi关系，证明了这样构造的能量动量张量在量子连续极限下是守恒的。我们构造的能量动量张量是非常明确的，可用于非微扰数值模拟。
英文摘要：
It is well-known that Noether currents in the classical four-dimensional $\mathcal{N}=1$ supersymmetric Yang--Mills theory (4D $\mathcal{N}=1$ SYM), i.e., the $U(1)_A$ current, 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 4D $\mathcal{N}=1$ SYM 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
