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Title: Aspects of the Gribov-Zwanziger Lagrangian in relation to gluon confinement
Author: Thelan, David
Awarding Body: University of Liverpool
Current Institution: University of Liverpool
Date of Award: 2013
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Over the years there have been many developments in the field of Quantum Chromodynamics, however there still remains some unresolved issues with the theory. Central to these is the principle of gauge copies arising from the Gribov problem. In this work we shall try and address some these issues, in recent years there has been a shift in the lattice data for the low momentum behaviour of the propagators for the gluon and ghost. This change suggests there may now be disagreement with the Lagrangian proposed by Gribov and Zwanziger and the lattice data. It is possible to modify the Gribov-Zwanziger Lagrangian so that it fits the lattice data but these modifications are not unique. The aim of this work is to investigate what effect these modified solutions have to our understanding of the low momentum behaviour of QCD and to see which if any of these solutions is favourable. Further to see we shall explore many of the methods and techniques used in this work by performing a calculation involving polarized deep inelastic scattering operators in QCD, this work while not related to the Gribov problem will help provide a strong understanding of many of the problems we shall encounter while considering the low momentum behaviour in the Gribov case.
Supervisor: Gracey, J. A.; Teubner, T. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics