论文标题
gluon和Quark Energy-Momentum张量操作员的两环重新归一化和混合
Two-loop renormalization and mixing of gluon and quark energy-momentum tensor operators
论文作者
论文摘要
在本文中，我们为QCD Energy-Momentum Tensor的定义中出现的Gluon和Quark规范运算符重新归一化的一环和两循环结果。为此，我们考虑了各种绿色的功能，并具有不同的传入动量。我们确定了一组Twist-2对称的无纹状体和风味单线操作员，它们之间的混合并计算了非辅助组件的相应混合系数。我们还为某些适当的正则依赖性（RI'）提供了结果，例如方案，该方案解决了这种混合，我们通过晶格模拟讨论了它们在非扰动研究中的应用。最后，我们提取拟议的RI'和MSBAR方案之间转换因子的一环和两环表达式。从我们关于MSBAR氮的绿色功能的结果来看，人们可以轻松地得出将RI'Ill样方案与MSBAR相关的许多变体的转化因子。 为了使我们的结果易于访问，我们还以Mathematica输入文件以及等效的文本文件的形式将其作为补充材料提供。
In this paper, we present one- and two-loop results for the renormalization of the gluon and quark gauge-invariant operators which appear in the definition of the QCD energy-momentum tensor, in dimensional regularization. To this end, we consider a variety of Green's functions with different incoming momenta. We identify the set of twist-2 symmetric traceless and flavor singlet operators which mix among themselves and we calculate the corresponding mixing coefficients for the nondiagonal components. We also provide results for some appropriate regularization-independent (RI')-like schemes, which address this mixing, and we discuss their application to nonperturbative studies via lattice simulations. Finally, we extract the one- and two-loop expressions of the conversion factors between the proposed RI' and the MSbar schemes. From our results regarding the MSbar-renormalized Green's functions, one can easily derive conversion factors relating numerous variants of RI'-like schemes to MSbar. To make our results easily accessible, we also provide them as Supplemental Material, in the form of a Mathematica input file and, also, an equivalent text file.
