1998/06/02 by A. Harindranath, Rajen Kundu, Wei-Min Zhang · 38 citations
Mathematics · Physics and Astronomy · #Deep inelastic scattering #Factorization #Fock space #Hamiltonian (control theory) #High-Energy Particle Collisions Research #Inelastic scattering #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Perturbation theory (quantum mechanics) #Perturbative QCD #Physics #Position and momentum space #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scattering #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevd.59.094013
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 59(9) (American Physical Society) · Revtex, 26 pages and no figure
arxiv created 1998/06/02 · openalex publication_date 1999/03/31 · openalex created_date 2016/06/24 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
Recently, we introduced a unified theory to deal with perturbative and non-perturbative QCD contributions to hadronic structure functions in deep inelastic scattering. This formulation is realized by combining the coordinate space approach based on light-front current algebra techniques and the momentum space approach based on Fock space expansion methods in the Hamiltonian formalism of light-front field theory. In this work we show how a perturbative analysis in the light-front Hamiltonian formalism leads to the factorization scheme we have proposed recently. The analysis also shows that the scaling violations due to perturbative QCD corrections can be rather easily addressed in this framework by simply replacing the hadron target by a dressed parton target and then carrying out a systematic expansion in the coupling constant \ensuremathαs based on the perturbative QCD expansion of the dressed parton target. The tools employed for this calculation are those available from light-front old-fashioned perturbation theory. We present a complete set of calculations of unpolarized deep inelastic structure functions to order \ensuremathαs. We extract the relevant splitting functions in all the cases. We explicitly verify all the sum rules to order \ensuremathαs. We demonstrate the validity of approximations made in the derivation of the new factorization scheme. This is achieved with the help of detailed calculations of the evolution of structure function of a composite system carried out using multi-parton wave functions.