We study the small-z limit of the structure functions for deep inelastic scattering in Quantum Chromodynamics. The standard approach to this process, based on the DGLAP equations, runs into difficulties in the small-x region due to the higher order corrections becoming large. As an attempt to overcome these obstacles we reinterpret the small-z limit in terms of high energy asymptotics. The relevant high energy formalism is developed in terms of Reggeon Field Theory, which leads to the BFKL equation for the scattering amplitude. These results are reviewed fully, for completeness. We then apply the resulting formalism to structure functions at small-z to determine the phenomenological implications of this high energy resummation. The DESY electron-proton collider HERA is presently exploring the region of the structure functions for x ≤ 10(^-3), Q(^2) ~ 10 GeV(^2) and the results of these experiments are compared with our theoretical analysis. The structure functions are a very inclusive measurement; so in order to try and focus on some cleaner indication of the BFKL behaviour we then turn to an analysis of dijet production in deep inelastic scattering. The results of the BFKL formalism are compared with standard analysis in terms of the DGLAP equations.

Thesis (Ph.D.)--York University, 2008. Graduate Programme in Physics and Astronomy. / Typescript. Includes bibliographical references (leaves 259-265). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:NR51493

New fundamental observables are becoming accessible with the Leading Proton Spectrometers (LPS) of ZEUS and H1. This enables us to test more thoroughly the pQCD mechanism of diffractive Deep Inelastic Scattering (DIS). Calculations of the diffractive cross-section in the small Bjorken x limit have been performed. We have used the microscopic QCD formalism of diffractive DIS to find higher twist corrections to the transverse structure functions and predict the diffractive slope and azimuthal asymmetries. We establish duality correspondence between diffraction into low-mass continuum and vector meson production, and calculate the diffractive contribution to the spin structure functions. / Ph. D.

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