On the FaddeevPopov determinant in Regge calculus
Abstract
The functional integral measure in the 4D Regge calculus normalised w.r.t. the DeWitt supermetric on the space of metrics is considered. The FaddeevPopov factor in the measure is shown according to the previous author's work on the continuous fields in Regge calculus to be generally illdefined 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 link lengths become the gauge ones.
 Publication:

Physics Letters B
 Pub Date:
 April 2001
 DOI:
 10.1016/S03702693(01)002969
 arXiv:
 arXiv:grqc/0012097
 Bibcode:
 2001PhLB..504..359K
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 5 pages, LaTeX