Spikes in Quantum Regge Calculus

Details Spikes in Quantum Regge Calculus Spikes in Quantum Regge Calculus

1997-04-28

arxiv.org/abs/gr-qc/9704079v1

Class.Quant.Grav. 14 (1997) 3225-3241

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, Latex2e, 11 figures

Scientific paper

10.1088/0264-9381/14/12/009

We demonstrate by explicit calculation of the DeWitt-like measure in two-dimensional quantum Regge gravity that it is highly non-local and that the average values of link lengths $l, $, do not exist for sufficient high powers of $n$. Thus the concept of length has no natural definition in this formalism and a generic manifold degenerates into spikes. This might explain the failure of quantum Regge calculus to reproduce the continuum results of two-dimensional quantum gravity. It points to severe problems for the Regge approach in higher dimensions.

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