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Contributions à l'étude de la chromodynamique quantique perturbative appliquée à la diffusion profondément inélastique à petit x

Abstract : The proton is a composite object, consisting of a collection of partons, quarks and gluons, which interact according to the laws of Quantum Chromodynamics (QCD). In this work, we consider a Hamiltonian formulation of this theory in a light-cone frame.

In this context, we derive the parton evolution equations in transverse momentum (DGLAP equation) as well as in longitudinal momentum (BFKL equation) on the same footing. The latter is obtained as the colour-dipole model. We traduce in this Hamiltonian formalism the complete set of calculations that are needed to present our personal contributions, which mainly consist in new developments and applications of the colour-dipole model.

The latter is successfully fitted to the HERA data for the inclusive structure functions, which are related to the electron-proton cross-sections. The contribution of the production of charmed particules is predicted, and exhibits a fair agreement with the experimental data. On the other hand, we show the phenomenological relevance of some subleading components of the BFKL equation (classified according to their conformal spin), which appear as solutions of the evolution equations: we compare their effect to the one of Donnachie and Landshoff's soft Pomeron.

Studying some particular observables, we show the equivalence between the Hamiltonian formulation of QCD and a covariant formulation. We apply it to the derivation of the effective primordial dipole density at the origin of a forward jet which sometimes appears in the final state of either a deep-inelastic scattering process or a proton diffusion.

Finally, hard diffraction is studied in the BFKL approach. On the phenomenological side, we compare the HERA experimental data to the dipole model. On the theoretical side, we compute the higher-conformal spin components of the BFKL equation for diffractive photon production.
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https://pastel.archives-ouvertes.fr/tel-00002344
Contributor : Stephane Munier <>
Submitted on : Friday, January 31, 2003 - 1:44:34 PM
Last modification on : Wednesday, March 27, 2019 - 4:02:05 PM
Long-term archiving on: : Friday, April 2, 2010 - 6:47:58 PM

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  • HAL Id : tel-00002344, version 1

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Stéphane Munier. Contributions à l'étude de la chromodynamique quantique perturbative appliquée à la diffusion profondément inélastique à petit x. Physique des Hautes Energies - Expérience [hep-ex]. Ecole Polytechnique X, 2000. Français. ⟨tel-00002344⟩

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