Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-06-22
Phys.Rev. D51 (1995) 502-516
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
27 pages, report IFFC/94-13
Scientific paper
10.1103/PhysRevD.51.502
A new representation of Quantum Gravity is developed. This formulation is based on an extension of the group of loops. The enlarged group, that we call the Extended Loop Group, behaves locally as an infinite dimensional Lie group. Quantum Gravity can be realized on the state space of extended loop dependent wavefunctions. The extended representation generalizes the loop representation and contains this representation as a particular case. The resulting diffeomorphism and hamiltonian constraints take a very simple form and allow to apply functional methods and simplify the loop calculus. In particular we show that the constraints are linear in the momenta. The nondegenerate solutions known in the loop representation are also solutions of the constraints in the new representation. The practical calculation advantages allows to find a new solution to the Wheeler-DeWitt equation. Moreover, the extended representation puts in a precise framework some of the regularization problems of the loop representation. We show that the solutions are generalized knot invariants, smooth in the extended variables, and any framing is unnecessary.
Bartolo Cayetano Di
Gambini Rodolfo
Griego Jorge
No associations
LandOfFree
The Extended Loop Representation of Quantum Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Extended Loop Representation of Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Extended Loop Representation of Quantum Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-636117