Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-06
Physics
High Energy Physics
High Energy Physics - Theory
Jan 2007. 146pp. Ph.D. Thesis (Advisor: L. von Smekal and A.G. Williams)
Scientific paper
In this Thesis we present a comprehensive study of perturbative and non-perturbative non-Abelian gauge theories in the light of gauge-fixing procedures, focusing our attention on the BRST formalism in Yang-Mills theory. We propose first a model to re-write the Faddeev-Popov quantisation method in terms of group-theoretical techniques and then we give a possible way to solve the no-go theorem of Neuberger for lattice Yang-Mills theory with double BRST symmetry. In the final part we present a study of the Batalin-Vilkovisky quantisation method for non-linear gauges in non-Abelian gauge theories.
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