Inflation in models with Conformally Coupled Scalar fields: An application to the Noncommutative Spectral Action

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 cond...

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Bibliographic Details
Published inarXiv.org
Main Authors Buck, Michel, Fairbairn, Malcolm, Sakellariadou, Mairi
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.08.2010
Subjects
Context
Mathematics - Mathematical Physics
Physics - Cosmology and Nongalactic Astrophysics
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
Quarks
Scalars
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1005.1188