Consistency of the Symplectic Projectors Method on Multidimensional Gauge Models

Abstract

In this paper we apply the Symplectic Projectors Method to gauge theories with second class constraints in various space-time dimensions. The conclusion is that this method is equivalent to the standard quantization methods. Although it suffers from some limitations since its applicability is restricted to some simpler situation when one is not interested in full information provided by the BRST, our analysis shows that it is worthwhile to investigate this method further. Relevant reference for this thesis are hep-th/0005214, hep-th/0104154 and hep-th/0108197.