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

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

1992-10-20

arxiv.org/abs/hep-th/9210110v1

Phys.Rev.D47:5214-5218,1993

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.47.R5214

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.

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