Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-03-06
Phys.Rev. D46 (1992) 4257-4262
Physics
High Energy Physics
High Energy Physics - Theory
15 pages
Scientific paper
10.1103/PhysRevD.46.4257
We discuss the BRST cohomologies of the invariants associated with the description of classical and quantum gravity in four dimensions, using the Ashtekar variables. These invariants are constructed from several BRST cohomology sequences. They provide a systematic and clear characterization of non-local observables in general relativity with unbroken diffeomorphism invariance, and could yield further differential invariants for four-manifolds. The theory includes fluctuations of the vierbein fields, but there exits a non-trivial phase which can be expressed in terms of Witten's topological quantum field theory. In this phase, the descent sequences are degenerate, and the corresponding classical solutions can be identified with the conformally self-dual sector of Einstein manifolds. The full theory includes fluctuations which bring the system out of this sector while preserving diffeomorphism invariance.
Chang Lay Nam
Soo Chopin
No associations
LandOfFree
Brst Cohomology and Invariants of 4D Gravity in Ashtekar Variables 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 Brst Cohomology and Invariants of 4D Gravity in Ashtekar Variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Brst Cohomology and Invariants of 4D Gravity in Ashtekar Variables will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-101702