Unambiguous spin-gauge formulation of canonical general relativity with conformorphism invariance
Abstract
We present a parameter-free gauge formulation of general relativity in terms of a new set of real spin connection variables. The theory is constructed by extending the phase space of the recently formulated conformal geometrodynamics to accommodate a spin-gauge description. This leads to a further enlarged set of first class gravitational constraints consisting of a reduced Hamiltonian constraint and the canonical generators for spin-gauge and conformorphism transformations. Owing to the incorporated conformal symmetry, the new theory is shown to be free from an ambiguity of the Barbero-Immirzi type.
- Publication:
-
Physical Review D
- Pub Date:
- October 2005
- DOI:
- 10.1103/PhysRevD.72.087501
- arXiv:
- arXiv:gr-qc/0507044
- Bibcode:
- 2005PhRvD..72h7501W
- Keywords:
-
- 04.20.Cv;
- 04.20.Fy;
- 04.60.Ds;
- 04.60.Pp;
- Fundamental problems and general formalism;
- Canonical formalism Lagrangians and variational principles;
- Canonical quantization;
- Loop quantum gravity quantum geometry spin foams;
- General Relativity and Quantum Cosmology
- E-Print:
- 4 pages