SU(2) gauge symmetry in gravity phase space

Details SU(2) gauge symmetry in gravity phase space SU(2) gauge symmetry in gravity phase space

2011-11-18

arxiv.org/abs/1111.4369v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, proceedings of Loops 11 conference, Madrid; to appear in Journal of Physics: Conference Series (JPCS)

Scientific paper

The Hamiltonian formulation of the Holst action in vacuum and in the presence
of matter fields is analyzed in a generic local Lorentz frame. It is elucidated
how the SU(2) gauge symmetry is inferred by reducing the set of constraints to
a first-class one. The consequences of the proposed approach for Loop Quantum
Gravity and Spin Foam models are discussed.

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