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