Loop quantum modified gravity and its cosmological application
Loop quantum modified gravity and its cosmological application
Xiang-Dong Zhang1,2 (2 (
1. Department of Physics, South China University of Technology, Guangzhou 510641, China; 2. Department of Physics, Beijing Normal University, Beijing 100875, China
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.
Key words ：
loop quantum gravity
scalar-tensor theories
收稿日期: 2012-11-19
出版日期: 2013-02-01
Corresponding Author(s):
Zhang Xiang-Dong,Email:scxdzhang@scut.edu.cn; Ma Yong-Ge,Email:mayg@bnu.edu.cn
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