Abstract
The difficulties in quantizing gravity are due to the non-Lie-algebra nature of the gauged translation operators and to the dimensional nature of the Newton constant. The first issue may be dealt with by gauging the infinite Lie algebra of the diffeomorphisms. The second is solved if gravity is represented by a gl (4,R) gauge with dimensionless coupling, with Einstein’s theory and Newton’s coupling resulting from spontaneous symmetry breakdown (i.e. a low energy effective theory).
Supported in part by the US DOE Grant DE-FG05-85ER40200 and by RZNS (Belgrade)
Wolfson Chair Extraordinary in Theoretical Physics
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Ne’eman, Y., Šijački, D. (1988). Towards a Renormalizable Theory of Quantum Gravity. In: Bleuler, K., Werner, M. (eds) Differential Geometrical Methods in Theoretical Physics. NATO ASI Series, vol 250. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7809-7_18
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