Eigenvalues as Dynamical Variables
General Relativity and Quantum Cosmology
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.gr-qc/9906044,
title = {Eigenvalues as Dynamical Variables},
author = {Giovanni Landi},
journal= {arXiv preprint arXiv:gr-qc/9906044},
year = {2007}
}
Comments
14 pages, Latex. Based on a talk given at the Arbeitstagung `Das Standardmodell der Elementarteilchenphysik unter mathematisch-geometrischem Aspekt', Hesselberg, Germany, March 1999