2006/07/31 by Laurent Freidel, L. Freidel, Jerzy Kowalski-Glikman +3 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Diffeomorphism #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge symmetry #Gauge theory #Gravitation #Hamiltonian lattice gauge theory #Introduction to gauge theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum gauge theory #Theoretical physics #gr-qc
paper · pdf · doi:10.1103/physrevd.74.084002
published as Phys.Rev. D74 (2006) 084002 · 19 pages, some number of comments and clarifications added, to be published in Phys. Rev. D
arxiv created 2006/09/13 · openalex publication_date 2006/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Since the work of Mac-Dowell-Mansouri it is well known that gravity can be written as a gauge theory for the de Sitter group. In this paper we consider the coupling of this theory to the simplest gauge invariant observables that is, Wilson lines. The dynamics of these Wilson lines is shown to reproduce exactly the dynamics of relativistic particles coupled to gravity, the gauge charges carried by Wilson lines being the mass and spin of the particles. Insertion of Wilson lines breaks in a controlled manner the diffeomorphism symmetry of the theory and the gauge degree of freedom are transmuted to particles degree of freedom.