Two-loop evolution equations for light-ray operators
Two-loop evolution equations for light-ray operators
复制标题
光线算子的二环演化方程
DOI：
10.1016/j.physletb.2014.05.037
复制
发表时间：
2014
影响因子：
4.4
通讯作者：
A. Manashov
中科院分区：
文献类型：
--
作者：
V. Braun;A. Manashov
非整数d= 4− 2 π时空维的QCD拥有非平凡临界点，并具有精确标度和共形不变性。这种对称性对物理（整数）维复合算子的重整化群方程的形式施加了非平凡的限制，并允许从其特征值（异常维数）重建完整的内核。我们使用这种技术来获得两个回路的风味非单线态夸克-反夸克光线运营商的编码的广义强子部分子分布和光锥分布振幅的最紧凑的形式的标度依赖性的演化方程。
QCD in non-integer d= 4− 2 ϵ space–time dimensions possesses a nontrivial critical point and enjoys exact scale and conformal invariance. This symmetry imposes nontrivial restrictions on the form of the renormalization group equations for composite operators in physical (integer) dimensions and allows to reconstruct full kernels from their eigenvalues (anomalous dimensions). We use this technique to derive two-loop evolution equations for flavor-nonsinglet quark–antiquark light-ray operators that encode the scale dependence of generalized hadron parton distributions and light-cone distribution amplitudes in the most compact form.