Unified model of loop quantum gravity and matter

Details Unified model of loop quantum gravity and matter Unified model of loop quantum gravity and matter

2004-09-10

arxiv.org/abs/gr-qc/0409045v1

Gen.Rel.Grav. 38 (2006) 593-598

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, dedicated to Michael P. Ryan on the occasion of his sixtieth birthday

Scientific paper

We reconsider the unified model of gravitation and Yang--Mills interactions proposed by Chakraborty and Peld\'an, in the light of recent formal developments in loop quantum gravity. In particular, we show that one can promote the Hamiltonian constraint of the unified model to a well defined anomaly-free quantum operator using the techniques introduced by Thiemann, at least for the Euclidean theory. The Lorentzian version of the model can be consistently constructed, but at the moment appears to yield a correct weak field theory only under restrictive assumptions, and its quantization appears problematic.

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