Effective dynamics from coherent state path integral of full loop quantum gravity

Han M, Liu H (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Physical Review D American Physical Society

Book Volume: 101

Journal Issue: 4

DOI: 10.1103/PhysRevD.101.046003

Abstract

A new routine is proposed to relate loop quantum cosmology (LQC) to loop quantum gravity (LQG) from the perspective of effective dynamics. We derive the big-bang singularity resolution and big bounce from the first principle of full canonical LQG. Our results are obtained in the framework of the reduced phase space quantization of LQG. As a key step in our work, we derive with coherent states a new discrete path integral formula of the transition amplitude generated by the physical Hamiltonian. The semiclassical approximation of the path integral formula gives an interesting set of effective equations of motion (EOMs) for full LQG. When solving the EOMs with homogeneous and isotropic ansatz, we reproduce the LQC effective dynamics in the mu(0)-scheme. The solution replaces the big-bang singularity by a big bounce. In the end, we comment on the possible relation between the (mu) over bar -scheme of effective dynamics and the continuum limit of the path integral formula.

Authors with CRIS profile

Muxin Han Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

University of Toulon / Université de Toulon (UTLN) FR France (FR)

How to cite

APA:

Han, M., & Liu, H. (2020). Effective dynamics from coherent state path integral of full loop quantum gravity. Physical Review D, 101(4). https://dx.doi.org/10.1103/PhysRevD.101.046003

MLA:

Han, Muxin, and Hongguang Liu. "Effective dynamics from coherent state path integral of full loop quantum gravity." Physical Review D 101.4 (2020).

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