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APS » Journals » Phys. Rev. D » Volume 54 » Issue 10
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Phys. Rev. D 54, R5935–R5938 (1996)

Rigorous solution of the quantum Einstein equations

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Rodolfo Gambini
Instituto de Física, Facultad de Ciencias, Tristan Narvaja 1674, Montevideo, Uruguay

Jorge Pullin
Center for Gravitational Physics and Geometry, Department of Physics, 104 Davey Lab, The Pennsylvania State University, University Park, Pennsylvania 16802

Received 17 April 1996; published in the issue dated 15 November 1996

We show that the second coefficient of the Conway knot polynomial is annihilated by the Hamiltonian constraint of canonically quantized general relativity in the loop representation. The calculations are carried out in a fully regularized lattice framework. Crucial to the calculation is the explicit form of the skein relations of the second coefficient, which relate it to the Gauss linking number. Contrary to the lengthy formal continuum calculation, the rigorous lattice version can be summarized in a few pictures.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.54.R5935
DOI:
10.1103/PhysRevD.54.R5935
PACS:
04.60.Nc
 
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