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Title: Anomalies and polarisation phenomena in deep inelastic scattering
Author: White, B. E.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 2000
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We present results of investigations into polarised Deep Inelastic Scattering. Firstly, we revisit a proposal to test topological charge screening, the mechanism which can explain the anomalously small value of the first moment of the longitudinally polarised structure function g1, in certain polarised diffractive structure functions. We provide concrete evidence that the Operator Product Expansion (OPE) can be used to analyse diffractive structure functions in a simplified scalar field theory model. This was an essential ingredient in the proposal. Secondly, we construct an angular momentum sum-rule for nucleons, whereby the expectation values of quark and gluon angular momentum add up to that of the nucleon. We explain that there is no connection between the sum-rule and the first moment of g1. We also derive the renormalisation group mixing between the two quantities in the sum-rule, showing that the axial anomaly is not present in the mixing. We compare the sum-rule with a simple parton model extended to include orbital angular momentum, and find only partial correspondence between the operator analysis used for the sum-rule and this model. Thirdly, we explore the class of hard processes involving elastic scattering of the nucleon, in particular Deeply Virtual Compton Scattering (DVCS), from which the two quantities in the sum-rule are to be extracted. We give a complete treatment of the factorisation of the amplitude for the analogue of DVCS in scalar field theory using the local OPE. We also review and comment on recent work on the QCD case.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available