Continuous matter fields in Regge calculus
General Relativity and Quantum Cosmology
2016-08-31 v1
Abstract
We find that the continuous matter fields are ill-defined in Regge calculus in the physical 4D theory since the corresponding effective action has infinite terms unremovable by the UV renormalisation procedure. These terms are connected with the singular nature of the curvature distribution in Regge calculus, namely, with the presence in d>2 dimensions of the (d-3)-dimensional simplices where the (d-2)-dimensional ones carrying different conical singularities are meeting. Possible resolution of this difficulty is discretisation of matter fields in Regge background.
Cite
@article{arxiv.gr-qc/0012095,
title = {Continuous matter fields in Regge calculus},
author = {V M Khatsymovsky},
journal= {arXiv preprint arXiv:gr-qc/0012095},
year = {2016}
}
Comments
4 pages, LaTeX