CANONICAL QUANTIZATION OF SPONTANEOUSLY BROKEN TOPOLOGICALLY MASSIVE GAUGE-THEORY

In this paper we investigate the canonical quantization of a non-Abeli an topologically massive Chern-Simons theory in which the gauge Welds are minimally coupled to a multiplet of scalar fields in such a way th at the gauge symmetry is spontaneously broken, Such a model produces t he Chern-Simons-Higgs mechanism in which the gauge excitations acquire mass both from the Chern-Simons term an from the Higgs-Kibble effect. The symmetry breaking is chosen to be only partially broken, in such a way that iri the broken vacuum there remains a residual non-Abelian symmetry. We develop the canonical operator structure of this theory i n the broken vacuum, with particular emphasis on the particle-content of the fields involved in the Chern-Simons-Higgs mechanism. We constru ct the Fock space and express the dynamical generators in terms of cre ation and annihilation operator modes, The canonical apparatus is used to obtain the propagators for this theory, and we use the Poincare ge nerators to demonstrate the effect of Lorentz boosts on the particle s tates. (C) 1996 American Institute of Physics.