Cosmological consequences of the NonCommutative Geometry Spectral Action

TL;DR

This paper explores how noncommutative geometry spectral action influences cosmological models, highlighting effects of Higgs field coupling on background evolution and potential inflationary roles.

Contribution

It analyzes the impact of nonminimal Higgs-curvature coupling on cosmology within the noncommutative geometry framework, including background and perturbation effects.

Findings

Background cosmology remains unchanged without nonminimal coupling.

Nonminimal coupling introduces corrections at the background level.

Higgs field could serve as an inflaton due to its geometric coupling.

Abstract

Cosmological consequences of the noncommutative geometry spectral action are presented. Neglecting the nonminimal coupling of the Higgs field to the curvature, background cosmology remains unchanged, and only the inhomogeneous perturbations will evolve differently from the equivalent classical system. However, considering the nonminimal coupling, corrections will be obtained even at the level of the background cosmologies. Finally, the Higgs field may act as an inflaton field, due to its nonminimal coupling with geometry.