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

Rodolfo Gambini and Jorge Pullin
Phys. Rev. D 47, R5214(R) – Published 15 June 1993
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Abstract

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.

  • Received 20 October 1992

DOI:https://doi.org/10.1103/PhysRevD.47.R5214

©1993 American Physical Society

Authors & Affiliations

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

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Vol. 47, Iss. 12 — 15 June 1993

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