Eigenvalues as Dynamical Variables

Details Eigenvalues as Dynamical Variables Eigenvalues as Dynamical Variables

1999-06-14

arxiv.org/abs/gr-qc/9906044v1

Lect.Notes Phys. 596 (2002) 299-312

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, Latex. Based on a talk given at the Arbeitstagung `Das Standardmodell der Elementarteilchenphysik unter mathematisch

Scientific paper

We review some work done with C. Rovelli on the use of the eigenvalues of the Dirac operator on a curved spacetime as dynamical variables, the main motivation coming from their invariance under the action of diffeomorphisms. The eigenvalues constitute an infinite set of ``observables'' for general relativity and can be taken as variables for an invariant description of the gravitational field dynamics.

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