Abstract
We review some work done with Carlo 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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© 2002 Springer-Verlag Berlin Heidelberg
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Landi, G. (2002). Dirac Eigenvalues as Dynamical Variables. In: Scheck, F., Upmeier, H., Werner, W. (eds) Noncommutative Geometry and the Standard Model of Elementary Particle Physics. Lecture Notes in Physics, vol 596. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46082-9_16
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DOI: https://doi.org/10.1007/3-540-46082-9_16
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-540-46082-4
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