Spikes in quantum Regge calculus
Apr, 1997
20 pages
Published in:
- Class.Quant.Grav. 14 (1997) 3225-3241
e-Print:
- gr-qc/9704079 [gr-qc]
Report number:
- NBI-HE-97-20,
- DEMO-HEP-97-10
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Abstract: (arXiv)
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 , , do not exist for sufficient high powers of . 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.- quantum gravity: Regge
- dimension: 2
- path integral: measure
- triangulation
- continuum limit
- fundamental constant: length
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