Adiabatic regularisation of power spectra in nonminimally coupled chaotic inflation

Abstract

We investigate the effect of adiabatic regularization on both the tensor- and scalar-perturbation power spectra in \textit{nonminimally} coupled chaotic inflation. Similar to that of the \textit{minimally} coupled general single-field inflation, we find that the subtraction term is suppressed by an exponentially decaying factor involving the number of $e$-folds. By following the subtraction term long enough beyond horizon crossing, the regularized power spectrum tends to the "bare" power spectrum. This study justifies the use of the unregularized ("bare") power spectrum in standard calculations.

arXiv commentversion 4, 17 pages, corrected errors in some equations (minor corrections)

References in corpus (30)

• Planck 2013 results. XXII. Constraints on inflation
• Primordial Non-Gaussianities from Inflation Models
• On Inflation with Non-minimal Coupling
• Higher order corrections to primordial spectra from cosmological inflation
• The (pseudo)issue of the conformal frame revisited
• On Loops in Inflation
• Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background
• The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
• Classical and Quantum Initial Conditions for Higgs Inflation
• Observational consequences of chaotic inflation with nonminimal coupling to gravity
• One-loop corrections to a scalar field during inflation
• WKB approximation for inflationary cosmological perturbations
• The Inflationary Perturbation Spectrum
• Characterizing Inflationary Perturbations: The Uniform Approximation
• Revising the predictions of inflation for the cosmic microwave background anisotropies
• K-inflationary Power Spectra at Second Order
• On Adiabatic Renormalization of Inflationary Perturbations
• Revising the observable consequences of slow-roll inflation
• Non-Minimal Inflation Revisited
• The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling
• Non-Minimal Two-Loop Inflation
• Improved WKB analysis of Slow-Roll Inflation
• Cosmological attractor inflation from the RG-improved Higgs sector of finite gauge theory
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Renormalisation group improvement of scalar field inflation
• The Impact of Ultraviolet Regularization on the Spectrum of Curvature Perturbations During Inflation
• On the power spectrum generated during inflation
• Power spectra and spectral indices of $k$-inflation: high-order corrections
• Adiabatic regularisation of power spectra in $k$-inflation
• Logarithmic divergences in the $k$-inflationary power spectra computed through the uniform approximation

Cited by in corpus (9)

• Renormalization of the inflationary perturbations revisited
• Adiabatic regularization with a Yukawa interaction
• Adiabatic regularization of power spectrum and stress tensor of relic gravitational wave without low-frequency distortion
• Transformation of Primordial Cosmological Perturbations Under the General Extended Disformal Transformation
• Adiabatic regularization of power spectrum in nonminimally coupled general single-field inflation
• Inflationary perturbation spectra at next-to-leading slow-roll order in effective field theory of inflation
• Extending the symmetry of the massless Klein-Gordon equation under the general disformal transformation
• On the KG-constrained general disformal transformation of the Einstein-Hilbert action
• Percolation of 'Civilisation' in a Homogeneous Isotropic Universe