论文标题
Noether Supercurrent操作员从晶格扰动理论中混合
Noether supercurrent operator mixing from lattice perturbation theory
论文作者
论文摘要
在这项工作中，我们为超电流操作员的重新归一化$s_μ$，$ {\ cal n} = 1 $ supersympersymmetricric yang-mills理论提出了扰动结果。在量子水平上，该操作员将具有相同全局变换属性的量规和不变的操作员混合在一起。总共有13个线性独立的混合操作员，具有相同和较低的维度。我们通过晶格摄动理论确定混合矩阵的前两行，该行是指$s_μ$的重新归如此，并指出规格不变的混合操作员$t_μ$。要在$ {\ overline {\ rm MS}} $恢复归一化方案中提取这些混合系数，并按单循环订单计算两个正则化的相关的两点和三点绿色的功能：$s_μ$和$t_μ$。在晶格上，我们采用了斑块gluonic动作，为Gluinos，我们使用了Fermionic Wilson的动作并改进了三叶草。
In this work we present perturbative results for the renormalization of the supercurrent operator, $S_μ$, in ${\cal N} =1$ Supersymmetric Yang-Mills theory. At the quantum level, this operator mixes with both gauge invariant and noninvariant operators, which have the same global transformation properties. In total, there are 13 linearly independent mixing operators of the same and lower dimensionality. We determine, via lattice perturbation theory, the first two rows of the mixing matrix, which refer to the renormalization of $S_μ$, and of the gauge invariant mixing operator, $T_μ$. To extract these mixing coefficients in the ${\overline{\rm MS}}$ renormalization scheme and at one-loop order, we compute the relevant two-point and three-point Green's functions of $S_μ$ and $T_μ$ in two regularizations: dimensional and lattice. On the lattice, we employ the plaquette gluonic action and for the gluinos we use the fermionic Wilson action with clover improvement.
