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

References in corpus (9)

• The Standard Model Higgs boson as the inflaton
• Cosmological implications of the Higgs mass measurement
• The Measure Problem in Cosmology
• Conformal Transformations with Multiple Scalar Fields
• Gravitational corrections to Standard Model vacuum decay
• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• Quantum radiative corrections to slow-roll inflation
• On the Onset of Inflation in Loop Quantum Cosmology
• Early Universe models from Noncommutative Geometry

Cited by in corpus (6)

• Gravitational Waves in the Spectral Action of Noncommutative Geometry
• Particle Physics from Almost Commutative Spacetimes
• Restricting Fourth Order Gravity via Cosmology
• Noncommutative Geometry Spectral Action as a framework for unification: Introduction and phenomenological/cosmological consequences
• Higgs-Dilaton Lagrangian from Spectral Regularization
• Cosmological consequences of the noncommutative spectral geometry as an approach to unification