Cosmology in loop quantum gravity: symmetry reduction preserving gauge degrees of freedom
Year: 2025
Type: article
Abstract: In this manuscript, we address the issue of the loss of SU(2) internal symmetry in loop quantum cosmology and its relationship with loop quantum gravity. Drawing inspiration from Yang–Mills theory and employing the framework of fiber bundle theory, we propose a new gauge-invariant symmetry-reduction approach. Using this method, we successfully identify a cosmological sector of general relativity in terms of Ashtekar variables that preserves the SU(2) structure of the theory as well as part of the diffeomorphism gauge symmetry. Additionally, we analyze the properties of cylindrical functions and the classical constraint algebra, revealing that certain cylindrical functions exhibit distinctive symmetry features.
Source: Classical and Quantum Gravity
Author: Matteo Bruno
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W4413783424