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arXiv · 1906.07742

Duality and Self-duality of the Spin-1 Model in the Covariant Operator Formalism

G. B. de Gracia·B. M. Pimentel·L. Rabanal
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Abstract

We perform the covariant operator quantization of the spin-$1$ model in $2+1$ spacetime dimensions to rigorously establish its dualities. For this purpose, the Kugo-Ojima-Nakanishi formalism, based on an indefinite metric Hilbert space in the Heisenberg picture, is used. We show that it is possible to extract a massive physical excitation constructed from a linear combination of the vector field $A_{\mu}$ and the $B$-field. In turn, we also show that this excitation generates the Maxwell-Chern-Simons theory. This is achieved by exploring the two-point function of the vector field.

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G. B. de Gracia, B. M. Pimentel, L. Rabanal. 2019-06-18. Duality and Self-duality of the Spin-1 Model in the Covariant Operator Formalism. https://doi.org/10.1093/ptep%2Fptz080

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