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Spectral Action Beyond the Weak-Field Approximation

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Abstract

The spectral action for a non-compact commutative spectral triple is computed covariantly in a gauge perturbation up to order 2 in full generality. In the ultraviolet regime, p→∞, the action decays as 1/p 4 in any even dimension.

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Authors and Affiliations

  1. UMR 7332, Unité Mixte de Recherche du CNRS, Aix-Marseille Université, Luminy Case 907, 13288, Marseille Cedex 9, France

    B. Iochum

  2. Université du Sud Toulon-Var, 83957, La Carde Cedex, France

    B. Iochum

  3. UMR 7332, Laboratoire affilié à la FRUMAM FR, 7332, Marseille Cedex 9, France

    B. Iochum

  4. Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark

    C. Levy

  5. CMCC, Universidade Federal do ABC, Santo André, S.P., Brazil

    D. Vassilevich

  6. Department of Theoretical Physics, St. Petersburg University, St. Petersburg, Russia

    D. Vassilevich

Authors
  1. B. Iochum
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  2. C. Levy
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  3. D. Vassilevich
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Correspondence to B. Iochum.

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Communicated by A. Connes

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Iochum, B., Levy, C. & Vassilevich, D. Spectral Action Beyond the Weak-Field Approximation. Commun. Math. Phys. 316, 595–613 (2012). https://doi.org/10.1007/s00220-012-1587-8

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  • DOI: https://doi.org/10.1007/s00220-012-1587-8

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