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

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.

14 pages, 3 figures Slightly modified version to match the one will appear in Phys.Rev.D

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• Particle Physics from Almost Commutative Spacetimes
• Inflationary Attractors Predictions for Static Neutron Stars in the Mass-Gap Region
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• Constraints on NonCommutative Spectral Action from Gravity Probe B and Torsion Balance Experiments
• Noncommutative spectral geometry, algebra doubling and the seeds of quantization
• Does Gravity's Rainbow induce Inflation without an Inflaton?
• Neutron Star Structure in the Presence of Nonminimally Coupled Scalar Fields
• Holographic bounds and Higgs inflation
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