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Phys. Rev. D 47, R5214–R5218 (1993)

Quantum Einstein-Maxwell fields: A unified viewpoint from the loop representation

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

Jorge Pullin
Department of Physics, University of Utah, Salt Lake City, Utah 84112

Received 20 October 1992; published in the issue dated 15 June 1993

We propose a naive unification of electromagnetism and general relativity based on enlarging the gauge group of Ashtekar's new variables. We construct the connection and loop representations and analyze the space of states. In the loop representation, the wave functions depend on two loops, each of them carrying information about both gravitation and electromagnetism. We find that the Chern-Simons form and the Jones polynomial play a role in the model.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.47.R5214
DOI:
10.1103/PhysRevD.47.R5214
PACS:
04.50.+h, 04.20.Fy, 04.60.+n