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Unified model of loop quantum gravity and matter

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Abstract

We reconsider the unified model of gravitation and Yang–Mills interactions proposed by Chakraborty and Peldán, 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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Authors and Affiliations

  1. Instituto de Física, Facultad de Ciencias, Iguá 4225, esq. Mataojo, Montevideo, Uruguay

    Rodolfo Gambini

  2. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA, 70803-4001, USA

    S. Jay Olson & Jorge Pullin

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  1. Rodolfo Gambini
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  2. S. Jay Olson
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  3. Jorge Pullin
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Correspondence to Jorge Pullin.

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Gambini, R., Olson, S.J. & Pullin, J. Unified model of loop quantum gravity and matter. Gen Relativ Gravit 38, 593–598 (2006). https://doi.org/10.1007/s10714-006-0249-6

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  • DOI: https://doi.org/10.1007/s10714-006-0249-6

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