Quantum Einstein-Maxwell Fields: A Unified Viewpoint from the Loop Representation
High Energy Physics - Theory
2009-12-30 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.hep-th/9210110,
title = {Quantum Einstein-Maxwell Fields: A Unified Viewpoint from the Loop Representation},
author = {R. Gambini and J. Pullin},
journal= {arXiv preprint arXiv:hep-th/9210110},
year = {2009}
}
Comments
13pp. no figures, Revtex, UU-HEP-92/9, IFFI 92-11