论文标题
晶格中超流动运算符$ {\ cal n} {=} 1 $ supersymmetric yang-mills理论的扰动重新归一化
Perturbative renormalization of the supercurrent operator in lattice ${\cal N}{=}1$ supersymmetric Yang-Mills theory
论文作者
论文摘要
在这项工作中，我们在晶格上的超对称$ {\ cal n} {\ cal n} {\ cal n} {=}的背景下对Noether Supercurrent运算符进行了扰动研究。 Supercurrent与其他几个运算符混合，其中一些不是规格不变的，具有相同的量子数。我们通过计算具有外部基本场的每个混合算子的相关绿色功能来确定一个循环顺序的重新归一化和所有相应的混合系数。我们的计算是在维度和晶格正则化中进行的。从第一个正规化中，我们获得了$ \ bar {ms} $ - 重新归一化的绿色功能；后者与晶格正则化中相应的绿色功能的比较导致晶格重新归化因子的提取和混合系数在$ \ bar {ms} $方案中的混合系数。晶格计算使用Wilson Gluons和Cllover改善了Gluinos，在晶格间距中进行晶格计算。晶格结果可用于超对称病房身份的非扰动研究。
In this work we perform a perturbative study of the Noether supercurrent operator in the context of Supersymmetric ${\cal N}{=}1$ Yang-Mills (SYM) theory on the lattice. The supercurrent mixes with several other operators, some of which are not gauge invariant, having the same quantum numbers. We determine, to one loop order, the renormalization and all corresponding mixing coefficients by computing relevant Green's functions of each one of the mixing operators with external elementary fields. Our calculations are performed both in dimensional and lattice regularization. From the first regularization we obtain the $\bar{MS}$-renormalized Green's functions; comparison of the latter with the corresponding Green's functions in the lattice regularization leads to the extraction of the lattice renormalization factors and mixing coefficients in the $\bar{MS}$ scheme. The lattice calculations are performed to lowest order in the lattice spacing, using Wilson gluons and clover improved gluinos. The lattice results can be used in nonperturbative studies of supersymmetric Ward identities.
