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arXiv · hep-th/9602127

Quantum States of Topologically Massive Electrodynamics and Gravity

G. Grignani·P. Sodano·C. A. Scrucca
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Abstract

The free quantum states of topologically massive electrodynamics and gravity in 2+1 dimensions, are explicitly found. It is shown that in both theories the states are described by infrared-regular polarization tensors containing a regularization phase which depends on the spin. This is done by explicitly realizing the quantum algebra on a functional Hilbert space and by finding the Wightman function to define the scalar product on such a Hilbert space. The physical properties of the states are analyzed defining creation and annihilation operators. For both theories, a canonical and covariant quantization procedure is developed. The higher order derivatives in the gravitational lagrangian are treated by means of a preliminary Dirac procedure. The closure of the Poincaré algebra is guaranteed by the infrared-finiteness of the states which is related to the spin of the excitations through the regularization phase. Such a phase may have interesting physical consequences.

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G. Grignani, P. Sodano, C. A. Scrucca. 1996-02-22. Quantum States of Topologically Massive Electrodynamics and Gravity. https://doi.org/10.1088/0305-4470%2F29%2F12%2F022

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