Natural inflation mechanism in asymptotic noncommutative geometry

Abstract

The possibility of having an inflationary epoch within a noncommutative geometry approach to unifying gravity and the standard model is demonstrated. This inflationary phase occurs without the need to introduce "ad hoc" additional fields or potentials, rather it is a consequence of a nonminimal coupling between the geometry and the Higgs field.

5 pages. Modified extended version

References in corpus (6)

• The Standard Model Higgs boson as the inflaton
• Inflationary Cosmology
• Gravity and the standard model with neutrino mixing
• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• Particle production and reheating in the inflationary universe
• On the Onset of Inflation in Loop Quantum Cosmology

Cited by in corpus (31)

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• Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
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• Inflation in models with Conformally Coupled Scalar fields: An application to the Noncommutative Spectral Action
• Grand Symmetry, Spectral Action, and the Higgs mass
• Gravitational Waves in the Spectral Action of Noncommutative Geometry
• Constraints on NonCommutative Spectral Action from Gravity Probe B and Torsion Balance Experiments
• Noncommutative spectral geometry, algebra doubling and the seeds of quantization
• Spectral Action for Robertson-Walker metrics
• The spectral action and cosmic topology
• Spectral Regularisation: Induced Gravity and the Onset of Inflation
• Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology
• The coupling of topology and inflation in Noncommutative Cosmology
• Restricting Fourth Order Gravity via Cosmology
• Noncommutative Geometry Spectral Action as a framework for unification: Introduction and phenomenological/cosmological consequences
• Spectral Noncommutative Geometry, Standard Model and all that
• Generalized Non-Commutative Inflation
• Rationality of Spectral Action for Robertson-Walker Metrics
• Quantum Gravity and Cosmology: an intimate interplay
• Noncommutative spectral geometry, dissipation and the origin of quantization
• Doubling of the Algebra and Neutrino Mixing within Noncommutative Spectral Geometry
• Noncommutative Spectral Geometry: A Short Review
• Cosmological consequences of the noncommutative spectral geometry as an approach to unification
• A conceptual problem for non-commutative inflation and the new approach for non-relativistic inflationary equation of state
• Aspects of the Bosonic Spectral Action
• Fractality in Cosmic Topology Models with Spectral Action Gravity
• Noncommutative spectral geometry and the deformed Hopf algebra structure of quantum field theory
• Unweaving the Fabric of the Universe: The Interplay between Mathematics and Physics
• Aspects of the Bosonic Spectral Action: Successes and Challenges