On the Faddeev-Popov determinant in Regge calculus

Details On the Faddeev-Popov determinant in Regge calculus On the Faddeev-Popov determinant in Regge calculus

2000-12-27

arxiv.org/abs/gr-qc/0012097v1

Phys.Lett. B504 (2001) 359-361

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, LaTeX

Scientific paper

10.1016/S0370-2693(01)00296-9

The functional integral measure in the 4D Regge calculus normalised w.r.t. the DeWitt supermetric on the space of metrics is considered. The Faddeev-Popov factor in the measure is shown according to the previous author's work on the continuous fields in Regge calculus to be generally ill-defined due to the conical singularities. Possible resolution of this problem is discretisation of the gravity ghost (gauge) field by, e.g., confining ourselves to the affine transformations of the affine frames in the simplices. This results in the singularity of the functional measure in the vicinity of the flat background, where part of the physical degrees of freedom connected with linklengths become gauge ones.

Affiliated with

Also associated with

No associations

Rating

On the Faddeev-Popov determinant in Regge calculus 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 On the Faddeev-Popov determinant in Regge calculus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Faddeev-Popov determinant in Regge calculus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-429231