Diffeomorphism invariant Quantum Field Theories of Connections in terms of webs

Details Diffeomorphism invariant Quantum Field Theories of Connections in terms of webs Diffeomorphism invariant Quantum Field Theories of Connections in terms of webs

1999-01-07

arxiv.org/abs/gr-qc/9901015v1

Class.Quant.Grav. 16 (1999) 2299-2322

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 3 figurs

Scientific paper

10.1088/0264-9381/16/7/311

In the canonical quantization of gravity in terms of the Ashtekar variables one uses paths in the 3-space to construct the quantum states. Usually, one restricts oneself to families of paths admitting only finite number of isolated intersections. This assumption implies a limitation on the diffeomorphisms invariance of the introduced structures. In this work, using the previous results of Baez and Sawin, we extend the existing results to a theory admitting all the possible piecewise smooth finite paths and loops. In particular, we $(i)$ characterize the spectrum of the Ashtekar-Isham configuration space, $(ii)$ introduce spin-web states, a generalization of the spin-network states, $(iii)$ extend the diffeomorphism averaging to the spin-web states and derive a large class of diffeomorphism invariant states and finally $(iv)$ extend the 3-geometry operators and the Hamiltonian operator.

Affiliated with

Also associated with

No associations

Rating

Diffeomorphism invariant Quantum Field Theories of Connections in terms of webs 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 Diffeomorphism invariant Quantum Field Theories of Connections in terms of webs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffeomorphism invariant Quantum Field Theories of Connections in terms of webs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207911