论文标题
关于夸克和Gluon Energy Momentum Tensors的注释
A note on quark and gluon energy-momentum tensors
论文作者
论文摘要
我们讨论了QCD中对QCD中夸克和Gluon能量量的限制，这些限制是根据这些操作员的痕迹重态化组不变性的要求。我们的研究涵盖了后一种痕迹的最通用形式，而能量量张量本身仅受到非常温和的约束。我们为强耦合常数和重量化量表的两个有限独立函数得出了重量法化群，该方程完全定义了能量量张量。我们证明，先前提出的对重新归一化夸克和Gluon Energy-Momentum Tensor的定义是我们结果的特殊情况，假设对重态化量表没有明确的依赖。最后，我们以四循环顺序呈现$ \ edline {\ mathrm {MS}} $ - 重量化的夸克和Gluon Energy-Momentum Tensors。
We discuss the constraints on quark and gluon energy-momentum tensors in QCD that follow from the requirement of Renormalisation-Group invariance of the traces of these operators. Our study covers the most general form of the latter traces, while the energy-momentum tensors themselves are only subjected to very mild constraints. We derive Renormalisation-Group equations for the two finite independent functions of the strong coupling constant and renormalisation scale of minimal subtraction which completely define the energy-momentum tensors. We demonstrate that previously proposed definitions of the renormalized quark and gluon energy-momentum tensors are special cases of our results assuming no explicit dependence on the renormalisation scale. Finally, we present $\overline{\mathrm{MS}}$-renormalised quark and gluon energy-momentum tensors at four-loop order.
