Gauge fixing and BRST formalism in non-Abelian gauge theories

Details Gauge fixing and BRST formalism in non-Abelian gauge theories Gauge fixing and BRST formalism in non-Abelian gauge theories

2007-12-06

arxiv.org/abs/0712.0876v1

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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