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Loop quantum modified gravity and its cosmological application

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Abstract

A general nonperturvative loop quantization procedure for metric modified gravity is reviewed. As an example, this procedure is applied to scalar-tensor theories of gravity. The quantum kinematical framework of these theories is rigorously constructed. Both the Hamiltonian and master constraint operators are well defined and proposed to represent quantum dynamics of scalar-tensor theories. As an application to models, we set up the basic structure of loop quantum Brans-Dicke cosmology. The effective dynamical equations of loop quantum Brans-Dicke cosmology are also obtained, which lay a foundation for the phenomenological investigation to possible quantum gravity effects in cosmology.

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Authors and Affiliations

  1. Department of Physics, South China University of Technology, Guangzhou, 510641, China

    Xiang-Dong Zhang

  2. Department of Physics, Beijing Normal University, Beijing, 100875, China

    Xiang-Dong Zhang & Yong-Ge Ma

Authors
  1. Xiang-Dong Zhang
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  2. Yong-Ge Ma
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Correspondence to Xiang-Dong Zhang.

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Zhang, XD., Ma, YG. Loop quantum modified gravity and its cosmological application. Front. Phys. 8, 80–93 (2013). https://doi.org/10.1007/s11467-013-0277-0

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  • DOI: https://doi.org/10.1007/s11467-013-0277-0

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