Ultraviolet-regularized power spectrum without infrared distortions in cosmological spacetimes
arXiv:2212.01078 · doi:10.1016/j.physletb.2023.137868
Abstract
We reexamine the regularization of the two-point function of a scalar field in a Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. Adiabatic regularization provides a set of subtraction terms in momentum space that successfully remove its ultraviolet divergences at coincident points, but can significantly distort the power spectrum at infrared scales, especially for light fields. In this work we propose, by using the intrinsic ambiguities of the renormalization program, a new set of subtraction terms that minimize the distortions for scales , with an arbitrary mass scale. Our method is consistent with local covariance and equivalent to general regularization methods in curved spacetime. We apply our results to the regularization of the power spectrum in de Sitter space: while the adiabatic scheme yields exactly for a massless field, our proposed prescription recovers the standard scale-invariant result at super-horizon scales.
arXiv commentTitle changed with respect to first version. New section added on renormalization conditions and coupling constants (Sect. 3). It matches the published version in PLB. 6 pages + references, 1 figure
References in corpus (28)
- Planck 2018 results. X. Constraints on inflation
- Towards the Theory of Reheating After Inflation
- Reheating after Inflation
- BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
- Structure of Resonance in Preheating after Inflation
- Local Wick Polynomials and Time Ordered Products of Quantum Fields in Curved Spacetime
- Adiabatic regularization and particle creation for spin one-half fields
- Perturbative Quantum Gravity Comes of Age
- Adiabatic regularization for spin-1/2 fields
- Renormalized stress-energy tensor for spin-1/2 fields in expanding universes
- Revising the predictions of inflation for the cosmic microwave background anisotropies
- On Adiabatic Renormalization of Inflationary Perturbations
- On infrared and ultraviolet divergences of cosmological perturbations
- The Power Spectrum in de Sitter Inflation, Revisited
- Adiabatic expansions for Dirac fields, renormalization, and anomalies
- Equivalence of Adiabatic and DeWitt-Schwinger renormalization schemes
- The Impact of Ultraviolet Regularization on the Spectrum of Curvature Perturbations During Inflation
- Pair creation in electric fields, anomalies, and renormalization of the electric current
- On the power spectrum generated during inflation
- Remarks on the renormalization of primordial cosmological perturbations
- Role of gravity in the pair creation induced by electric fields
- Running couplings from adiabatic regularization
- Study of the preheating phase of chaotic inflation
- Adiabatic regularization with a Yukawa interaction
- Adiabatic regularization for Dirac fields in time-varying electric backgrounds
- Spacetime correlators of perturbations in slow-roll de Sitter inflation
- Note on the pragmatic mode-sum regularization method: translational-splitting in a cosmological background
- Breakdown of the semiclassical approximation during the early stages of preheating