Derivative coupling of inflaton to $R^{(3)}$

Abstract

We study the inflation scenario with the non-minimally derivative coupling $X{R}^{(3)}$, where $X={\nabla }_{\mu }\varphi {\nabla }^{\mu }\varphi$, $\varphi$ is the inflaton and $R^{(3)}$ is the 3-dimensional intrinsic Ricci scalar on the spacelike hypersurface, and analytically calculate the corrections of $X{R}^{(3)}$ on the power spectra of primordial perturbations. It is found that for the ${\varphi }^2$ inflation model, the corresponding predictions can be driven to the best-fit region of the $n_s$-$r$ diagram.

14 pages, 3 figures

References in corpus (19)

• The Standard Model Higgs boson as the inflaton
• The Effective Field Theory of Inflation
• Healthy theories beyond Horndeski
• Exploring gravitational theories beyond Horndeski
• The Unity of Cosmological Attractors
• The Effective Field Theory of nonsingular cosmology
• Resilience of the standard predictions for primordial tensor modes
• Stability of Geodesically Complete Cosmologies
• Cosmological bounce and Genesis beyond Horndeski
• Resurrecting Quadratic Inflation with a non-minimal coupling to gravity
• Quantum corrections to quartic inflation with a non-minimal coupling: metric vs. Palatini
• Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories
• Inflation driven by scalar field with non-minimal kinetic coupling with Higgs and quadratic potentials
• Natural Inflation with a periodic non-minimal coupling
• Simplifying the EFT of Inflation: Generalized Disformal Transformations and Redundant Couplings
• Curvaton with Nonminimal Derivative Coupling to Gravity II: Full Perturbation Analysis
• Inflationary gravitational waves in the effective field theory of modified gravity
• Anisotropy in Inflation with Non-minimal Coupling
• Multi-phase induced inflation in theories with non-minimal coupling to gravity

Cited by in corpus (2)

• Spatially covariant gravity: Perturbative analysis and field transformations
• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation