Quantum Einstein-Maxwell Fields: A Unified Viewpoint from the Loop Representation

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 wavefunctions 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.

13pp. no figures, Revtex, UU-HEP-92/9, IFFI 92-11

References in corpus (4)

• Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity
• How the Jones Polynomial Gives Rise to Physical States of Quantum General Relativity
• Ashtekar's Variables for Arbitrary Gauge Group
• Self Duality and Quantization

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