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High Energy Physics - Theory

arXiv:hep-th/0402147 (hep-th)
[Submitted on 19 Feb 2004 (v1), last revised 17 Mar 2004 (this version, v2)]

Title:The spectral action for Moyal planes

Authors:Victor Gayral, Bruno Iochum
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Abstract: 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 $\Theta$.
Comments: 20 pages, no figure, few improvments
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:hep-th/0402147
  (or arXiv:hep-th/0402147v2 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0402147
Journal reference: J.Math.Phys. 46 (2005) 043503
Related DOI: https://doi.org/10.1063/1.1855401

Submission history

From: Victor Gayral [view email]
[v1] Thu, 19 Feb 2004 12:51:10 UTC (24 KB)
[v2] Wed, 17 Mar 2004 13:22:54 UTC (24 KB)
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