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2008

Husain-Kuchar model as a constrained BF theory

Montesinos, Merced, Velazquez, Mercedes

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The Husain-Kuchar theory is a four-dimensional background-independent model that has long been viewed as a useful model for addressing several conceptual and technical problems appearing in the quantization of general relativity mainly in the loop quantum gravity approach.

The model was defined at Lagrangian level in terms of a su(2)-valued connection one-form $A$ coupled through its curvature to a su(2)-valued one-form field $e$.
We address here the problem of writing a Lagrangian formulation for the Husain-Kuchar model as a constrained BF theory motivated by the fact that spin foam models for quantum gravity are related to action principles of the BF type.
The Lagrangian action principle for the Husain-Kuchar model reported here differs from a previous one found by Barbero et al in that this description involves a single constrained BF theory rather than two interacting BF theories.

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Then

R. Capovilla, M. Montesinos, V.A. Prieto, and E. Rojas, Class. Quantum Grav. 18
2001
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2003
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V. Cuesta and M. Montesinos, Phys. Rev. D 76
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K. Krasnov, Mod. Phys. Lett. A 22
2007
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V. Cuesta, M. Montesinos, M. Velázquez, and J.D. Vergara, Phys. Rev. D 78
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J. Fernando Barbero G and Eduardo J.S. Villaseñor, Phys. Rev. D 63

2001

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