Chern-Simons States and Topologically Massive Gauge Theories

Details Chern-Simons States and Topologically Massive Gauge Theories Chern-Simons States and Topologically Massive Gauge Theories

1993-04-19

arxiv.org/abs/hep-th/9304081v1

Phys.Lett.B312:477-485,1993

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/0370-2693(93)90985-Q

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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