The Impact of Ultraviolet Regularization on the Spectrum of Curvature Perturbations During Inflation

Abstract

Inflationary predictions based on the linear theory of cosmological perturbations are related to the two point function of a (second quantized) real scalar free field during the accelerated stage. Such a two point function is finite, in contrast with its coincidence limit, which is divergent due to the ultraviolet divergences proper of field theory. We therefore argue that predictions of most of the inflationary models do not necessarily need a regularization scheme to leading order, i.e. tree level, which is required instead for non-linear corrections or calculations involving the energy-momentum tensor. We also discuss unpleasant features of the "would be" regularized spectrum obtained using the traditional fourth order adiabatic subtraction.

arXiv comment7 pages, 4 figures

References in corpus (8)

• Quantum Contributions to Cosmological Correlations
• Nongaussian Isocurvature Perturbations from Inflation
• Suppressing the lower Multipoles in the CMB Anisotropies
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time
• Energy-Momentum Tensor of Field Fluctuations in Massive Chaotic Inflation
• Second Order Gauge-Invariant Perturbations during Inflation
• Back-reaction of Cosmological Fluctuations during Power-Law Inflation

Cited by in corpus (24)

• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• On Adiabatic Renormalization of Inflationary Perturbations
• On infrared and ultraviolet divergences of cosmological perturbations
• Physical renormalization condition for de Sitter QED
• Large fluctuations and Primordial Black Holes
• Vacuum and Gravitons of Relic Gravitational Waves, and Regularization of Spectrum and Energy-Momentum Tensor
• On the power spectrum generated during inflation
• Renormalization of the inflationary perturbations revisited
• Cosmological Unparticle Correlators
• Adiabatic regularization with a Yukawa interaction
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Spacetime correlators of perturbations in slow-roll de Sitter inflation
• Adiabatic regularisation of power spectra in $k$-inflation
• Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter
• Gravitational waves induced by spinor fields
• Adiabatic regularization of power spectrum in nonminimally coupled general single-field inflation
• Adiabatic regularisation of power spectra in nonminimally coupled chaotic inflation
• Comment on "Origin of cosmic magnetic fields"
• On the adiabatic subtraction of cosmological perturbations
• Ultraviolet-regularized power spectrum without infrared distortions in cosmological spacetimes
• Primary gravitational waves at high frequencies I: Origin of suppression in the power spectrum
• Physical scale adiabatic regularization in cosmological spacetimes
• On Adiabatic Renormalization with a Physically Motivated Infrared Cut-Off