Conformally invariant Brans-Dicke loop quantum cosmology: A quantum geometric model of linking theory

Lin CY, Liu X, Ma Y, Zhang C (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Physical Review D American Physical Society

Book Volume: 108

Article Number: 124074

Journal Issue: 12

DOI: 10.1103/PhysRevD.108.124074

Abstract

The loop quantization of the conformal Brans-Dicke cosmology is explored in the spatially flat and Bianchi-I setting. The scalar and conformal constraints governing the canonical model are quantized using the loop techniques. The physical Hilbert space of quantum spacetimes satisfying both quantum constraints is then obtained by incorporating the quantum geometric features. The Schrödinger cosmic evolutions are derived with the relational Heisenberg observables describing the dynamical degrees of freedom with respect to the chosen reference degrees of freedom, with the latter providing the physical coordinates for the spatial hypersurfaces and the conformal scales. We show that the emerging Schrödinger theories contain not only the loop quantum cosmology of general relativity, but also that of the so-called shape dynamics. The exact dictionary between the two theories is achieved via the underlying physical Hilbert space possessing the additional (loop-corrected) conformal symmetry.

Authors with CRIS profile

Cong Zhang Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

Soochow University TW Taiwan (TW) Beijing Normal University CN China (CN)

How to cite

APA:

Lin, C.Y., Liu, X., Ma, Y., & Zhang, C. (2023). Conformally invariant Brans-Dicke loop quantum cosmology: A quantum geometric model of linking theory. Physical Review D, 108(12). https://doi.org/10.1103/PhysRevD.108.124074

MLA:

Lin, Chun Yen, et al. "Conformally invariant Brans-Dicke loop quantum cosmology: A quantum geometric model of linking theory." Physical Review D 108.12 (2023).

BibTeX: Download