The spectral action for Moyal planes

Details The spectral action for Moyal planes The spectral action for Moyal planes

2004-02-19

arxiv.org/abs/hep-th/0402147v2

J.Math.Phys. 46 (2005) 043503

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figure, few improvments

Scientific paper

10.1063/1.1855401

Extending a result of D.V. Vassilevich, we obtain the asymptotic expansion for the trace of a "spatially" regularized heat operator associated with a generalized Laplacian defined with integral Moyal products. The Moyal hyperplanes corresponding to any skewsymmetric matrix $\Theta$ being spectral triples, the spectral action introduced in noncommutative geometry by A. Chamseddine and A. Connes is computed. This result generalizes the Connes-Lott action previously computed by Gayral for symplectic $\Theta$.

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