Renormalization of the inflationary perturbations revisited

@article{Markkanen2017RenormalizationOT,
  title={Renormalization of the inflationary perturbations revisited},
  author={Tommi Markkanen},
  journal={Journal of Cosmology and Astroparticle Physics},
  year={2017},
  volume={2018},
  pages={001 - 001}
}
  • T. Markkanen
  • Published 6 December 2017
  • Physics
  • Journal of Cosmology and Astroparticle Physics
In this work we clarify aspects of renormalization on curved backgrounds focussing on the potential ramifications on the amplitude of inflationary perturbations. We provide an alternate view of the often used adiabatic prescription by deriving a correspondence between the adiabatic subtraction terms and traditional renormalization. Specifically, we show how adiabatic subtraction can be expressed as a set of counter terms that are introduced by redefining the bare parameters of the action. Our… 

On the adiabatic subtraction of cosmological perturbations

. Adiabatic subtraction is a popular method of renormalization of observables in quantum field theories on a curved spacetime. When applied to the computation of the power spectra of light ( m

Observational constraints on quantum decoherence during inflation

Since inflationary perturbations must generically couple to all degrees of freedom present in the early Universe, it is more realistic to view these fluctuations as an open quantum system interacting

A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation

A path-integral derivation of Langevin equations is developed, which solves conceptual issues of the heuristic approach made at the level of the classical equations of motion, and allows in principle to compute corrections to the stochastic formalism.

One-loop corrections to the primordial tensor spectrum from massless isocurvature fields

We study one-loop corrections to the two-point correlation function of tensor perturbations in primordial cosmology induced by massless spectator matter fields. Using the Schwinger-Keldysh formalism

Point-splitting regularization of the stress tensor of a coupling scalar field in de Sitter space

We perform the point-splitting regularization on the vacuum stress tensor of a coupling scalar field in de Sitter space under the guidance from the adiabatically regularized Green's function. For the

Adiabatic regularization and Green’s function of a scalar field in de Sitter space: Positive energy spectrum and no trace anomaly

In the conventional adiabatic regularization the vacuum ultraviolet divergences of a quantum field in curved spacetime are removed by subtracting the k -mode of the stress tensor to the 4th-order.

Adiabatic regularization of power spectrum and stress tensor of relic gravitational wave without low-frequency distortion

Adiabatic regularization is a method to remove UV divergences in quantum fields in curved spacetime. For relic gravitational wave generated during inflation, regularization on all k-modes of the

References

SHOWING 1-10 OF 65 REFERENCES

Adiabatic renormalization of inflationary perturbations

We discuss the impact of adiabatic renormalization on the power spectrum of scalar and tensor perturbations from inflation. We show that adiabatic regularization is ambiguous as it leads to very

Adiabatic regularization of functional determinants in cosmology and radiative corrections during inflation

We express the in-in functional determinant giving the one-loop effective potential for a scalar field propagating in a cosmological spacetime in terms of the mode functions specifying the vacuum of

Adiabatic regularization of primordial perturbations generated during inflation

Recently, L. Parker et al. claimed that standard predictions of the slow-roll inflationary scenario of the early Universe regarding primordial spectra of scalar and tensor metric perturbations

Impact of ultraviolet regularization on the spectrum of curvature perturbations during inflation

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.

Revising the predictions of inflation for the cosmic microwave background anisotropies.

We point out that, if quantum field renormalization is taken into account and the counterterms are evaluated at the Hubble-radius crossing time or few e-foldings after it, the predictions of

Back-reaction and the trans-planckian problem of inflation reexamined

It has recently been suggested that Planck scale physics may effect the evolution of cosmological fluctuations in the early stages of cosmological inflation in a nontrivial way, leading to an excited

A simple method for one-loop renormalization in curved space-time

We present a simple method for deriving the renormalization counterterms from the components of the energy-momentum tensor in curved space-time. This method allows control over the finite parts of

Adiabatic regularization of power spectra in nonminimally coupled chaotic inflation

We investigate the effect of adiabatic regularization on both the tensor- and scalar-perturbation power spectra in nonminimally coupled chaotic inflation. Similar to that of the minimally coupled

Zero-point quantum fluctuations in cosmology

We re-examine the classic problem of the renormalization of zero-point quantum fluctuations in a Friedmann-Robertson-Walker background. We discuss a number of issues that arise when regularizing the

Reexamination of the power spectrum in de Sitter inflation.

The amplitude of quantum fluctuations of the invariant de Sitter vacuum coincides exactly with that of the vacuum of a comoving observer for a massless scalar (inflaton) field, and the actual physical power spectrum is redefined as the difference between the amplitudes of the above vacua.
...