Star Products and Anomalies
Abstract
Some aspects of the quantization of systems of finite and infinite degrees of freedom are considered. In the first chapter the notion of analytic vectors and of domain of operators are related to some of the anomalies of quantum field theories in two dimensions. The E(2) algebra is then shown to appear in the bosonization of the Schwinger model. In chapter two one considers the case of E(2) as the fundamental quantization algebra which is appropriate when phase space is the cylinder. Quantization is performed directly on phase space by defining a star product. It is shown that this approach helps define a path integral for this situation. Finally in chapter three some unpublished calculations of star products and field theory are announced and an outline of work in progress is presented.
 Publication:

Ph.D. Thesis
 Pub Date:
 1990
 Bibcode:
 1990PhDT........48A
 Keywords:

 PATH INTEGRAL;
 PHASE SPACE;
 Physics: Elementary Particles and High Energy; Physics: General