Twist three distribution e(x): Sum rules and equation of motion relations

2009/12/31 by Asmita Mukherjee
Mathematics · Physics and Astronomy · #Algorithm #Geometry #Hamiltonian (control theory) #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Twist #hep-ph

paper · pdf · doi:10.1016/j.physletb.2010.03.023

published as Phys.Lett.B687:180-183,2010 · genuine twist three part added, conclusions on sum rules and equation of motion unchanged

arxiv created 2010/03/04 · openalex publication_date 2010/03/11 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the twist three distribution function e(x) in light-front Hamiltonian perturbation theory. In light-front gauge, by eliminating the constrained field, we find a mass term, an intrinsic transverse momentum dependent term and a 'genuine twist three' quark-gluon interaction term in the operator. The equation of motion relation, moment relation and the sum rules are satisfied for a quark at one loop. We compare the results with other model calculations.

Citations

• Two-hadron semi-inclusive production including subleading twist contributions
• Deep inelastic structure functions in light-front QCD: Radiative corrections
• The chirally-odd twist-3 distribution e a (x)
• Violation of sum rules for twist-3 parton distributions in QCD
• Modelling quark distribution and fragmentation functions
• Bounds on Transverse Momentum Dependent Distribution and Fragmentation Functions
• Beam-spin asymmetries in the azimuthal distribution of pion electroproduction
• Evidence for a Single-Spin Azimuthal Asymmetry in Semi-inclusive Pion Electroproduction