Testing an Inflation Model with Nonminimal Derivative Coupling in the Light of PLANCK 2015 Data

Abstract

We study the dynamics of a generalized inflationary model in which both the scalar field and its derivatives are coupled to the gravity. We consider a general form of the nonminimal derivative coupling in order to have a complete treatment of the model. By expanding the action up to the second order in perturbation, we study the spectrum of the primordial modes of the perturbations. Also, by expanding the action up to the third order and considering the three point correlation functions, the amplitude of the non-Gaussianity of the primordial perturbations is studied both in equilateral and orthogonal configurations. Finally, by adopting some sort of potentials, we compare the model at hand with the Planck 2015 released observational data and obtain some constraints on the model's parameters space. As an important result, we show that the nonminimal couplings help to make models of chaotic inflation, that would otherwise be in tension with Planck data, in better agreement with the data. This model is consistent with observation at weak coupling limit.

22 pages, 8 figures

References in corpus (17)

• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Monodromy in the CMB: Gravity Waves and String Inflation
• Primordial Non-Gaussianities from Inflation Models
• Power-counting and the Validity of the Classical Approximation During Inflation
• Quintessence and phantom cosmology with non-minimal derivative coupling
• The shape of primordial non-Gaussianity and the CMB bispectrum
• Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background
• Chaotic Inflation in Supergravity after Planck and BICEP2
• Does the first chaotic inflation model in supergravity provide the best fit to the Planck data?
• Natural Inflation in Supergravity and Beyond
• Does Current Data Prefer a Non-minimally Coupled Inflaton?
• DGP Cosmology with a Non-Minimally Coupled Scalar Field on the Brane
• Exponential potential for an inflaton with nonminimal kinetic coupling and its supergravity embedding
• Chaotic inflation and unitarity problem
• Kinetically Modified Non-Minimal Chaotic Inflation
• Inflation from cosmological constant and nonminimally coupled scalar
• Lecture notes on non-Gaussianity