Gluino-Glue算子的规范不变重整化
Gauge-invariant Renormalization of the Gluino-Glue operator
摘要：
我们在超对称${\cal N}{=}1$ Yang-Mills（SYM）理论的背景下研究Gluino-Glue算子。这个复合算符是规范不变的，它直接与理论的轻束缚态相联系;它的重整化是通过数值模拟研究低束缚态的必要步骤。我们使用规范不变重整化方案（GIRS）。这需要计算位于不同时空点的两个Gluino-Glue算子的乘积的格林函数。在这个方案中，与具有相同量子数的非规范不变算符的混合是无关紧要的。我们计算了GIRS方案与$\overline{\rm MS}$的单循环转换因子。该转换因子可用于转换为$\overline{\rm MS}$格林函数，该格林函数通过晶格模拟获得并在GIRS中非微扰地重整化。
英文摘要：
We study the Gluino-Glue operator in the context of Supersymmetric ${\cal N}{=}1$ Yang-Mills (SYM) theory. This composite operator is gauge invariant, and it is directly connected to light bound states of the theory; its renormalization is very important as a necessary step for the study of low-lying bound states via numerical simulations. We make use of a Gauge-Invariant Renormalization Scheme (GIRS). This requires the calculation of the Green's function of a product of two Gluino-Glue operators, situated at distinct space-time points. Within this scheme, the mixing with non-gauge invariant operators which have the same quantum numbers is inconsequential. We compute the one-loop conversion factor relating the GIRS scheme to $\overline{\rm MS}$. This conversion factor can be used in order to convert to $\overline{\rm MS}$ Green's functions which are obtained via lattice simulations and are renormalized nonperturbatively in GIRS.
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