Inflation in models with conformally coupled scalar fields: An application to the noncommutative spectral action

Michel Buck, Malcolm Fairbairn, and Mairi Sakellariadou
Phys. Rev. D 82, 043509 – Published 6 August 2010

Abstract

Slow-roll inflation is studied in theories where the inflaton field is conformally coupled to the Ricci scalar. In particular, the case of Higgs field inflation in the context of the noncommutative spectral action is analyzed. It is shown that while the Higgs potential can lead to the slow-roll conditions being satisfied once the running of the self-coupling at two-loops is included, the constraints imposed from the CMB data make the predictions of such a scenario incompatible with the measured value of the top quark mass. We also analyze the role of an additional conformally coupled massless scalar field, which arises naturally in the context of noncommutative geometry, for inflationary scenarios.

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  • Received 7 May 2010

DOI:https://doi.org/10.1103/PhysRevD.82.043509

© 2010 The American Physical Society

Authors & Affiliations

Michel Buck*, Malcolm Fairbairn, and Mairi Sakellariadou

  • Department of Physics, King’s College London, Strand WC2R 2LS, London, U.K.

  • *Michel.Buck@kcl.ac.uk
  • Malcolm.Fairbairn@kcl.ac.uk
  • Mairi.Sakellariadou@kcl.ac.uk

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Issue

Vol. 82, Iss. 4 — 15 August 2010

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