Path integral in area tensor Regge calculus and complex connections

Details Path integral in area tensor Regge calculus and complex connections Path integral in area tensor Regge calculus and complex connections

2006-02-28

arxiv.org/abs/gr-qc/0602116v3

Phys.Lett. B637 (2006) 350-355

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, plain LaTeX, matches the published version

Scientific paper

10.1016/j.physletb.2006.05.002

Euclidean quantum measure in Regge calculus with independent area tensors is considered using example of the Regge manifold of a simple structure. We go over to integrations along certain contours in the hyperplane of complex connection variables. Discrete connection and curvature on classical solutions of the equations of motion are not, strictly speaking, genuine connection and curvature, but more general quantities and, therefore, these do not appear as arguments of a function to be averaged, but are the integration (dummy) variables. We argue that upon integrating out the latter the resulting measure can be well-defined on physical hypersurface (for the area tensors corresponding to certain edge vectors, i.e. to certain metric) as positive and having exponential cutoff at large areas on condition that we confine ourselves to configurations which do not pass through degenerate metrics.

Affiliated with

Also associated with

No associations

Rating

Path integral in area tensor Regge calculus and complex connections 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 Path integral in area tensor Regge calculus and complex connections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path integral in area tensor Regge calculus and complex connections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388283