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Quantization of four-dimensional Abelian gravity

Bogusław Broda·Piotr Bronowski·Marcin Ostrowski·Michał Szanecki
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Abstract

An abelian version of standard general relativity in the Cartan-Palatini gauge-like formulation in four dimensions has been introduced. Traditional canonical analysis utilizing similarities to the akin Husain-Kuchar SU(2) version of gravity has been performed. The model has been next quantized in the canonical path-integral Faddeev-Popov formalism yielding abelian BF theory.

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Bogusław Broda, Piotr Bronowski, Marcin Ostrowski, Michał Szanecki. 2007-08-06. Quantization of four-dimensional Abelian gravity. https://doi.org/10.1016/j.physletb.2007.08.067

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