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Bosonic spectral action induced from anomaly cancellation

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Abstract

We show how (a slight modification of) the noncommutative geometry bosonic spectral action can be obtained by the cancellation of the scale anomaly of the fermionic action. In this sense the standard model coupled with gravity is induced by the quantum nature of the fermions. The regularization used is very natural in noncommutative geometry and puts the bosonic and fermionic action on a similar footing.

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Authors and Affiliations

  1. High Energy Physics Group, Dept. Estructura i Constituents de la Matèria, Universitat de Barcelona, Diagonal 647, 08028, Barcelona, Catalonia, Spain

    A. A. Andrianov & Fedele Lizzi

  2. Institut de Ciències del Cosmos, UB, Barcelona, Spain

    A. A. Andrianov & Fedele Lizzi

  3. V.A. Fock Department of Theoretical Physics, Sankt-Petersburg State University, 198504, St. Petersburg, Russia

    A. A. Andrianov

  4. Dipartimento di Scienze Fisiche, Università di Napoli Federico II and INFN, Sezione di Napoli, Monte S. Angelo, Via Cintia, 80126, Napoli, Italy

    Fedele Lizzi

Authors
  1. A. A. Andrianov
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  2. Fedele Lizzi
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Correspondence to A. A. Andrianov.

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ArXiv ePrint: 1001.2036

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Andrianov, A.A., Lizzi, F. Bosonic spectral action induced from anomaly cancellation. J. High Energ. Phys. 2010, 57 (2010). https://doi.org/10.1007/JHEP05(2010)057

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