Continuous matter fields in Regge calculus

Details Continuous matter fields in Regge calculus Continuous matter fields in Regge calculus

2000-12-26

arxiv.org/abs/gr-qc/0012095v1

Phys.Lett. B504 (2001) 356-358

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, LaTeX

Scientific paper

10.1016/S0370-2693(01)00295-7

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.

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