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arXiv · hep-th/9304081

Chern-Simons States and Topologically Massive Gauge Theories

M. Asorey·S. Carlip·F. Falceto
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Abstract

In an abelian topologically massive gauge theory, any eigenstate of the Hamiltonian can be decomposed into a factor describing massive propagating gauge bosons and a Chern-Simons wave function describing a set of nonpropagating ``topological'' excitations. The energy depends only on the propagating modes, and energy eigenstates thus occur with a degeneracy that can be parametrized by the Hilbert space of the pure Chern-Simons theory. We show that for a {\em nonabelian} topologically massive gauge theory, this degeneracy is lifted: although the Gauss law constraint can be solved with a similar factorization, the Hamiltonian couples the propagating and nonpropagating (topological) modes.

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M. Asorey, S. Carlip, F. Falceto. 1993-04-19. Chern-Simons States and Topologically Massive Gauge Theories. https://doi.org/10.1016/0370-2693(93)90985-q

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