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Towards the deformation quantization of linearized gravity

Hernando Quevedo·Julio G. Tafoya
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Abstract

We present a first attempt to apply the approach of deformation quantization to linearized Einstein's equations. We use the analogy with Maxwell equations to derive the field equations of linearized gravity from a modified Maxwell Lagrangian which allows the construction of a Hamiltonian in the standard way. The deformation quantization procedure for free fields is applied to this Hamiltonian. As a result we obtain the complete set of quantum states and its discrete spectrum.

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Hernando Quevedo, Julio G. Tafoya. 2004-01-21. Towards the deformation quantization of linearized gravity. https://doi.org/10.1007/s10714-005-0193-x

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