Spin Structure Function g_2(x,Q^2) and Twist-3 Operators in large-N_C QCD

Abstract

It is shown in the framework of the operator product expansion and the renormalization group method that the twist-3 part of flavour nonsinglet spin structure function g_2(x,Q^2) obeys a simple Dokshitzer-Gribov- Lipatov-Altarelli-Parisi (DGLAP) equation in the large N_C limit even in the case of massive quarks (N_C is the number of colours). There are four different types of twist-3 operators which contribute to g_2, including quark-mass-dependent operators and the ones proportional to the equation of motion. They are not all independent but are constrained by one relation. A new choice of the independent operator bases leads to a simple form of the evolution equation for g_2 at large N_C.

Corrected Ref.[15]

References in corpus (4)

• Precision Determination of the Neutron Spin Structure Function g1n
• Measurement of the Neutron Spin Structure Function $g_1^n$ with a Polarized ^3He Target
• Next-to-Leading Order QCD Analysis of Polarized Deep Inelastic Scattering Data
• Measurement of the Neutron Spin Structure Function g2n and Asymmetry A2n

Cited by in corpus (7)

• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• A lattice calculation of the nucleon's spin-dependent structure function g_2 revisited
• Polarized Virtual Photon Structure Function $g_2^{\gamma }$ and Twist-3 Effects in QCD
• Target Mass Effects in Polarized Virtual Photon Structure Functions
• The Small-x Behaviour of the Singlet Polarized Structure Function g_2 in the Double Logarithmic Approximation
• Polarized Structure Functions and Two-Photon Physics at Super-B
• Twist-3 Effects in Polarized Photon Structure