Coupling Fields to 3D Quantum Gravity via Chern-Simons Theory
Alejandra Castro, Ioana Coman, Jackson R. Fliss, Claire Zukowski
Abstract
We propose a mechanism that couples matter fields to three-dimensional quantum gravity, which can be used for theories with a positive or negative cosmological constant. Our proposal is rooted in the Chern-Simons formulation of three-dimensional gravity and makes use of the Wilson spool, a collection of Wilson loops winding around closed paths of the background. We show that the Wilson spool correctly reproduces the one-loop determinant of a free massive scalar field on rotating black holes in AdS_{3} and Euclidean dS_{3} as G_{N}→0. Moreover, we describe how to incorporate quantum metric fluctuations into this formalism.
Topics & Concepts
PhysicsChern–Simons theoryQuantum gravityFormalism (music)Loop quantum gravitySpin foamScalar fieldEuclidean geometryCoupling constantTheoretical physicsCosmological constantMathematical physicsClassical mechanicsGravitationQuantumEuclidean quantum gravityQuantum mechanicsGauge theoryGeometryArtMusicalMathematicsVisual artsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories