20th LQP Workshop

Foundations and constructive aspects of QFT

June 29-30, 2007


Leipzig University

Jesper Grimstrup (U Copenhagen)

A spectral triple of Quantum Gravity

In my talk I will outline the construction and interpretation of a spectral triple over a functional space of connections. The triple is based on a projective system of simplicial complexes. The algebra is formed by abstract loops and the Dirac operator plays the role of a functional derivation. The Hilbert space inner product involves a functional integral. The commutator between the Dirac operator and an element of the algebra is directly related to the Poisson brackets of canonical gravity.

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Rainer Verch
ITP, Universitaet Leipzig
Vor dem Hospitaltore 1
Phone: +49 341 97 32423