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
收藏
页码:137 / 143
页数:7
相关论文
共 22 条
[1]  
[Anonymous], ARXIV13020884
[2]   EVOLUTION-EQUATIONS FOR QCD STRING-OPERATORS [J].
BALITSKY, II ;
BRAUN, VM .
NUCLEAR PHYSICS B, 1989, 311 (03) :541-584
[3]   ON THE PHASE-STRUCTURE OF VECTOR-LIKE GAUGE-THEORIES WITH MASSLESS FERMIONS [J].
BANKS, T ;
ZAKS, A .
NUCLEAR PHYSICS B, 1982, 196 (02) :189-204
[4]   Predictions from conformal algebra for the deeply virtual Compton scattering [J].
Belitsky, AV ;
Muller, D .
PHYSICS LETTERS B, 1998, 417 (1-2) :129-140
[5]   Next-to-leading order evolution of twist-two conformal operators: The Abelian case [J].
Belitsky, AV ;
Muller, D .
NUCLEAR PHYSICS B, 1998, 527 (1-2) :207-234
[6]   Broken conformal invariance and spectrum of anomalous dimensions in QCD [J].
Belitsky, AV ;
Müller, D .
NUCLEAR PHYSICS B, 1999, 537 (1-3) :397-442
[7]   Evolution equations beyond one loop from conformal symmetry [J].
Braun, V. M. ;
Manashov, A. N. .
EUROPEAN PHYSICAL JOURNAL C, 2013, 73 (08) :1-19
[8]   Scale dependence of twist-three contributions to single spin asymmetries (vol 80, 114002, 2009) [J].
Braun, V. M. ;
Manashov, A. N. ;
Pirnay, B. .
PHYSICAL REVIEW D, 2012, 86 (11)
[9]   Scale dependence of twist-three contributions to single spin asymmetries [J].
Braun, V. M. ;
Manashov, A. N. ;
Pirnay, B. .
PHYSICAL REVIEW D, 2009, 80 (11)
[10]  
Braun VM, 2003, PROG PART NUCL PHYS, V51, P311, DOI [10.1016/S0146-6410(03)90004-4, 10.1016/S0146-6410(03)00095-4]