Two-loop evolution equations for light-ray operators

被引:11
作者
Braun, V. M. [1 ]
Manashov, A. N. [1 ,2 ]
机构
[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
[2] St Petersburg State Univ, Dept Theoret Phys, St Petersburg 199034, Russia
关键词
3-LOOP SPLITTING FUNCTIONS; MASS ANOMALOUS DIMENSION; CONFORMAL SYMMETRY; QCD; O(1/N-F(2)); CONSTRAINTS;
D O I
10.1016/j.physletb.2014.05.037
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
QCD in non-integer d = 4 - 2 is an element of space-time dimensions possesses a nontrivial critical point and enjoysexact 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. (C) 2014 The Authors. Published by Elsevier B.V.
引用
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页码:137 / 143
页数:7
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