Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-07-04
Phys.Rev. D74 (2006) 084002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages, some number of comments and clarifications added, to be published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.74.084002
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.
Freidel Laurent
Kowalski--Glikman J.
Starodubtsev Artem
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