SQG2 - Loop Quantum Gravity, Quantum Geometry, Spin Foams |
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Speaker |
CIANFRANI, FRANCESCO |
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Co-autors |
Giovanni Montani |
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Talk Title |
On the Removal of Time-Gauge in Loop Quantum Gravity, with and without Matter. |
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Abstract |
we perform the Hamiltonian formulation of gravity at the first order without fixing the local Lorentz frame. We demonstrate that the Gauss constraints of the Lorentz group reduce to SU(2)-Gauss constraints plus the vanishing of some momenta. This result definitively clarifies the peculiar role played by the SU(2) gauge symmetry in the phase space of gravity. Hence the Loop Quantum Gravity quantization procedure can be safely applied and no gauge condition has to be fixed for the local Lorentz frame. |
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