Canonical quantization of spontaneously broken topologically massive gauge theory

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531531· OSTI ID:286066

Chen, L; Dunne, G; Haller, K; Lim-Lombridas, E ^[1]

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1. Department of Physics, University of Connecticut, Storrs, Connecticut 06269 (United States)

In this paper we investigate the canonical quantization of a non-Abelian topologically massive Chern{endash}Simons theory in which the gauge fields are minimally coupled to a multiplet of scalar fields in such a way that the gauge symmetry is spontaneously broken. Such a model produces the Chern{endash}Simons{endash}Higgs mechanism in which the gauge excitations acquire mass both from the Chern{endash}Simons term and from the Higgs{endash}Kibble effect. The symmetry breaking is chosen to be only partially broken, in such a way that in the broken vacuum there remains a residual non-Abelian symmetry. We develop the canonical operator structure of this theory in the broken vacuum, with particular emphasis on the particle-content of the fields involved in the Chern{endash}Simons{endash}Higgs mechanism. We construct the Fock space and express the dynamical generators in terms of creation and annihilation operator modes. The canonical apparatus is used to obtain the propagators for this theory, and we use the Poincar{acute e} generators to demonstrate the effect of Lorentz boosts on the particle states. {copyright} {ital 1996 American Institute of Physics.}

• DOE Contract Number: FG02-92ER40716
• OSTI ID: 286066
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 6 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FOCK REPRESENTATION
GAUGE INVARIANCE
LAGRANGIAN FUNCTION
POINCARE GROUPS
QUANTIZATION
QUANTUM FIELD THEORY
SCALAR FIELDS
SYMMETRY BREAKING
VACUUM STATES