Faraday lines and observables for the Einstein-Maxwell theory

Details Faraday lines and observables for the Einstein-Maxwell theory Faraday lines and observables for the Einstein-Maxwell theory

1993-06-18

arxiv.org/abs/gr-qc/9306024v1

Class.Quant.Grav.10:L233-L238,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Alberta-Thy-30-93 (RevTeX)

Scientific paper

10.1088/0264-9381/10/12/004

In recent work on Einstein gravity in four dimensions using the Ashtekar variables, non-local loop variables have played an important role in attempts to formulate a quantum theory. The introduction of such variables is guided by gauge invariance, and here an infinite set of loop variables is introduced for the Hamiltonian form of the Einstein-Maxwell theory. The loops that enter the description naturally are the (source free) electric field lines. These variables are invariant under spatial diffeomorphisms and they also form a closed Poisson algebra. As such they may be useful for quantization attempts and for studying classical solutions.

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