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arXiv · 1210.7222

Solvable model for quantum gravity

Jack Gegenberg·Viqar Husain
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Abstract

We study a type of geometric theory with a non-dynamical one-form field. Its dynamical variables are an $su(2)$ gauge field and a triad of $su(2)$ valued one-forms. Hamiltonian decomposition reveals that the theory has a true Hamiltonian, together with spatial diffeomorphism and Gauss law constraints, which generate the only local symmetries. Although perturbatively non-renormalizable, the model provides a test bed for the non-perturbative quantization techniques of loop quantum gravity.

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Jack Gegenberg, Viqar Husain. 2014-06-16. Solvable model for quantum gravity. https://doi.org/10.1088/0264-9381%2F30%2F6%2F065023

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