Perturbation Theory in k-Inflation Coupled to Matter

Abstract

We consider k-inflation models where the action is a non-linear function of both the inflaton and the inflaton kinetic term. We focus on a scalar-tensor extension of k-inflation coupled to matter for which we derive a modified Mukhanov-Sasaki equation for the curvature perturbation. Significant corrections to the power spectrum appear when the coupling function changes abruptly along the inflationary trajectory. This gives rise to a modification of Starobinsky's model of perturbation features. We analyse the way the power spectrum is altered in the infrared when such features are present.

20 pages, 1 figure

References in corpus (14)

• Perturbations in generalized multi-field inflation
• Inflation and WMAP three year data: Features have a Future!
• Trapped Inflation
• CMB polarization features from inflation versus reionization
• New Universal Local Feature in the Inflationary Perturbation Spectrum
• New Constraints on Oscillations in the Primordial Spectrum of Inflationary Perturbations
• Cosmological Fluctuations from Infra-Red Cascading During Inflation
• Comparing Infrared Dirac-Born-Infeld Brane Inflation to Observations
• On Features and Nongaussianity from Inflationary Particle Production
• Brane inflation and the WMAP data: a Bayesian analysis
• Is a step in the primordial spectral index favored by CMB data ?
• K-inflationary Power Spectra in the Uniform Approximation
• Brane inflation and reheating
• Constraints on Kinetically Modified Inflation from WMAP5

Cited by in corpus (6)

• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• Beauty is Distractive: Particle production during multifield inflation
• Primordial Power Spectrum features and $f_{NL}$ constraints
• Enhanced Preheating after Multi-Field Inflation: On the Importance of being Special
• Particle Production during Inflation in Light of PLANCK
• Superimposed Oscillations in Brane Inflation