Phys. Rev. Lett. 87, 181301 (2001) [4 pages]

Perturbative Finiteness in Spin-Foam Quantum Gravity

Abstract

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Louis Crane^1a,1b, Alejandro Perez^2a,2b, and Carlo Rovelli^2a,2b
^1aMathematics Department, Kansas State University, Manhattan, Kansas
^1band Istituto Superior Tecnico, Lisboa, Portugal
^2aCPT, Case 907, Marseille, France
^2band Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania

Received 7 May 2001; revised 15 August 2001; published 15 October 2001

The Lorentzian “normalized balanced state sum model” of quantum general relativity is finite on any nondegenerate triangulation. It provides a candidate for a background independent, perturbatively finite, quantum theory of general relativity in four dimensions and with Lorentzian signature.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.87.181301

DOI:

10.1103/PhysRevLett.87.181301

PACS:

04.60.-m

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Phys. Rev. Lett. 87, 181301 (2001) [4 pages]

Perturbative Finiteness in Spin-Foam Quantum Gravity