PoS - Proceedings of Science
Volume 436 - Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2022) - Workshop on Features of a Quantum de Sitter Universe
A 3d perspective on de Sitter quantum field theory
J. Fliss
Full text: pdf
Published on: November 08, 2023
Abstract
A basic introduction to scalar field theory in de Sitter spacetime is presented. The focus of this presentation takes place in three-dimensions. I will review the representation theory of $SO(1,3)$, the isometry group of three-dimensional de Sitter space. I will use this representation theory to build scalar fields in the inflationary patch and reproduce their two-point function in the Bunch Davies vacuum. I will then describe analogous calculations in Euclidean signature utilizing the sphere heat-kernel which is exact in three-dimensions. I will also cast the heat-kernel in an alternate description as the quantum mechanics of a particle worldline; in this context, computations will make explicit use of worldlines that wrap the compact Euclidean space, a phenomenon that does not occur in analogous Anti-de Sitter computations. Lastly, I will describe recent results for coupling quantum matter to three-dimensional quantum gravity in the Chern-Simons formalism by bootstrapping intuition from worldline quantum mechanics to Wilson loop operators. These proceedings are an expanded form of a talk given in the introductory session of a workshop on ``Features of a Quantum de Sitter Universe."
DOI: https://doi.org/10.22323/1.436.0129
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.