Manifestly Covariant Quantization of Topologically Massive Abelian Gauge Theory : Particles and Fields

概要

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The abelian gauge theory having the generalized Chern-Simons term μ∫_MB∧dC, which is defined over D dimensional manifold M, is quantized in a manifestly covariant manner. We perform this covariant quantization based on the Nakanishi-Lautrup formalism in both three and four spacetime dimensions explicitly and see that the generalization to arbitrary higher dimensions is straightforward. The particle content of various fields in this theory is analysed in detail. We show that 1/μ^2・□B(or 1/μ^2・□C) becomes massive with the topological mass μ and other fields become unphysical or zero norm. These results make certain that the counting of the physical states in the previous papers is really correct.
理論物理学刊行会の論文
1990-05-25