학술논문

Keeping matter in the loop in dS3 quantum gravity.
Document Type
Article
Source
Journal of High Energy Physics. Jul2023, Vol. 2023 Issue 7, p1-61. 61p.
Subject
*CHERN-Simons gauge theory
*QUANTUM fluctuations
*PERTURBATION theory
*QUANTUM gravity
*SCALAR field theory
*GRAVITY
Language
ISSN
1126-6708
Abstract
We propose a mechanism that couples matter fields to three-dimensional de Sitter quantum gravity. Our construction is based on the Chern-Simons formulation of three-dimensional Euclidean gravity, and it centers on a collection of Wilson loops winding around Euclidean de Sitter space. We coin this object a Wilson spool. To construct the spool, we build novel representations of 픰픲(2). To evaluate the spool, we adapt and exploit several known exact results in Chern-Simons theory. Our proposal correctly reproduces the one-loop determinant of a free massive scalar field on S3 as GN → 0. Moreover, allowing for quantum metric fluctuations, it can be systematically evaluated to any order in perturbation theory. [ABSTRACT FROM AUTHOR]