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arXiv · 1111.2215

Loop Quantum Brans-Dicke Theory

Xiangdong Zhang·Yongge Ma
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Abstract

The loop quantization of Brans-Dicke theory (with coupling parameter $\omega\neq-3/2$) is studied. In the geometry-dynamical formalism, the canonical structure and constraint algebra of this theory are similar to those of general relativity coupled with a scalar field. The connection dynamical formalism of the Brans-Dicke theory with real $su(2)$-connections as configuration variables is obtained by canonical transformations. The quantum kinematical Hilbert space of Brans-Dicke theory is constituted as of that loop quantum gravity coupled with a polymer-like scalar field. The Hamiltonian constraint is promoted as a well defined operator to represent quantum dynamics. This formalism enable us to extend the scheme of non-perturbative loop quantum gravity to the Brans-Dicke theory.

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Xiangdong Zhang, Yongge Ma. 2011-11-09. Loop Quantum Brans-Dicke Theory. https://doi.org/10.1088/1742-6596/360/1/012055

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