Built on

G. G. Stokes, “On the discontinuity of arbitrary constants that appear as multipliers of semi-convergent series,” Acta Math. 26, 393-397 (1902) doi:10.1007/BF02415503
1902
Earlier work this paper cites.
L. Parker, “Quantized fields and particle creation in expanding universes. 1.,” Phys. Rev. 183
1969
Earlier work this paper cites.
A. A. Grib and S. G. Mamaev, “On field theory in the friedman space,” Yad. Fiz. 10
1969
Earlier work this paper cites.
L. Parker, “Quantized fields and particle creation in expanding universes. 2.,” Phys. Rev. D 3
1971
Earlier work this paper cites.
R. B. Dingle, “Asymptotic expansions: their derivation and interpretation,” (Academic Press, London, 1973)
1973
Earlier work this paper cites.
L. Parker and S. A. Fulling, “Adiabatic regularization of the energy momentum tensor of a quantized field in homogeneous spaces,” Phys. Rev. D 9
1974
Earlier work this paper cites.
A. A. Grib, S. G. Mamaev and V. M. Mostepanenko, “Particle Creation from Vacuum in Homogeneous Isotropic Models of the Universe,” Gen. Rel. Grav. 7
1976
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, and Particle Creation,” Phys. Rev. D 15
1977
Earlier work this paper cites.
B. Allen and A. Folacci, “The Massless Minimally Coupled Scalar Field in De Sitter Space,” Phys. Rev. D 35
1987
Earlier work this paper cites.

Similar

M. V. Berry, “Uniform Asymptotic Smoothing of Stokes’s Discontinuities,” Proc. Roy. Soc. Lond. A 422
1989
Cited alongside, same era.
M. V. Berry, “Waves near Stokes lines,” Proc. R. Soc. A 427, 265 (1990)
1990
Cited alongside, same era.
S. Habib, C. Molina-Paris and E. Mottola, “Energy momentum tensor of particles created in an expanding universe,” Phys. Rev. D 61
2000
Cited alongside, same era.
J. F. Dufaux, G. N. Felder, L. Kofman, M. Peloso and D. Podolsky, “Preheating with trilinear interactions: Tachyonic resonance,” JCAP 07
2006
Cited alongside, same era.
F. Finelli, G. Marozzi, G. P. Vacca and G. Venturi, “The Impact of ultraviolet regularization on the spectrum of curvature perturbations during inflation,” Phys. Rev. D 76
Original
2007
Cited alongside, same era.

Then

R. Durrer, G. Marozzi and M. Rinaldi, “On Adiabatic Renormalization of Inflationary Perturbations,” Phys. Rev. D 80
Original
2009
Later among the works it cites.
I. Agullo, J. Navarro-Salas, G. J. Olmo and L. Parker, “Revising the observable consequences of slow-roll inflation,” Phys. Rev. D 81
Original
2010
Later among the works it cites.
C. K. Dumlu and G. V. Dunne, “The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses,” Phys. Rev. Lett. 104
Original
2010
Later among the works it cites.
G. Marozzi, M. Rinaldi and R. Durrer, “On infrared and ultraviolet divergences of cosmological perturbations,” Phys. Rev. D 83
Original
2011
Later among the works it cites.
I. Agullo, J. Navarro-Salas, G. J. Olmo and L. Parker, “Remarks on the renormalization of primordial cosmological perturbations,” Phys. Rev. D 84

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2022

On the adiabatic subtraction of cosmological perturbations

Corbà, Sofia P., Sorbo, Lorenzo

Understand

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 ($m\ll H$) fields on de Sitter space with flat Friedmann-Lema\^{i}tre-Robertson-Walker slices, the standard prescriptions of adiabatic subtraction, traceable back to Parker's work, lead to results that are significantly different from the standard predictions of inflation not only in the ultraviolet ($k\gg aH$) but also at intermediate ($m\ll k/a\lesssim H$) wavelengths.
In this paper we review those results and we contrast them with the power spectra obtained using an alternative prescription for adiabatic subtraction applied to quantum field theoretical systems by Dabrowski and Dunne.
This prescription eliminates the intermediate-wavelength effects of renormalization that are found when using the standard one.

Built on

G. G. Stokes, “On the discontinuity of arbitrary constants that appear as multipliers of semi-convergent series,” Acta Math. 26, 393-397 (1902) doi:10.1007/BF02415503
1902
Earlier work this paper cites.
L. Parker, “Quantized fields and particle creation in expanding universes. 1.,” Phys. Rev. 183
1969
Earlier work this paper cites.
A. A. Grib and S. G. Mamaev, “On field theory in the friedman space,” Yad. Fiz. 10
1969
Earlier work this paper cites.
L. Parker, “Quantized fields and particle creation in expanding universes. 2.,” Phys. Rev. D 3
1971
Earlier work this paper cites.
R. B. Dingle, “Asymptotic expansions: their derivation and interpretation,” (Academic Press, London, 1973)
1973
Earlier work this paper cites.
L. Parker and S. A. Fulling, “Adiabatic regularization of the energy momentum tensor of a quantized field in homogeneous spaces,” Phys. Rev. D 9
1974
Earlier work this paper cites.
A. A. Grib, S. G. Mamaev and V. M. Mostepanenko, “Particle Creation from Vacuum in Homogeneous Isotropic Models of the Universe,” Gen. Rel. Grav. 7
1976
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, and Particle Creation,” Phys. Rev. D 15
1977
Earlier work this paper cites.
B. Allen and A. Folacci, “The Massless Minimally Coupled Scalar Field in De Sitter Space,” Phys. Rev. D 35
1987
Earlier work this paper cites.

Similar

M. V. Berry, “Uniform Asymptotic Smoothing of Stokes’s Discontinuities,” Proc. Roy. Soc. Lond. A 422
1989
Cited alongside, same era.
M. V. Berry, “Waves near Stokes lines,” Proc. R. Soc. A 427, 265 (1990)
1990
Cited alongside, same era.
S. Habib, C. Molina-Paris and E. Mottola, “Energy momentum tensor of particles created in an expanding universe,” Phys. Rev. D 61
2000
Cited alongside, same era.
J. F. Dufaux, G. N. Felder, L. Kofman, M. Peloso and D. Podolsky, “Preheating with trilinear interactions: Tachyonic resonance,” JCAP 07
2006
Cited alongside, same era.
F. Finelli, G. Marozzi, G. P. Vacca and G. Venturi, “The Impact of ultraviolet regularization on the spectrum of curvature perturbations during inflation,” Phys. Rev. D 76
Original
2007
Cited alongside, same era.

Then

R. Durrer, G. Marozzi and M. Rinaldi, “On Adiabatic Renormalization of Inflationary Perturbations,” Phys. Rev. D 80
Original
2009
Later among the works it cites.
I. Agullo, J. Navarro-Salas, G. J. Olmo and L. Parker, “Revising the observable consequences of slow-roll inflation,” Phys. Rev. D 81
Original
2010
Later among the works it cites.
C. K. Dumlu and G. V. Dunne, “The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses,” Phys. Rev. Lett. 104
Original
2010
Later among the works it cites.
G. Marozzi, M. Rinaldi and R. Durrer, “On infrared and ultraviolet divergences of cosmological perturbations,” Phys. Rev. D 83
Original
2011
Later among the works it cites.
I. Agullo, J. Navarro-Salas, G. J. Olmo and L. Parker, “Remarks on the renormalization of primordial cosmological perturbations,” Phys. Rev. D 84

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

I. Agullo, J. Navarro-Salas, G. J. Olmo and L. Parker, “Reexamination of the Power Spectrum in De Sitter Inflation,” Phys. Rev. Lett. 101

Original

2008

Cited alongside, same era.

I. Agullo, J. Navarro-Salas, G. J. Olmo and L. Parker, “Revising the predictions of inflation for the cosmic microwave background anisotropies,” Phys. Rev. Lett. 103

Original

2009

Cited alongside, same era.

M. M. Glenz and L. Parker, “Study of the Spectrum of Inflaton Perturbations,” Phys. Rev. D 80

Original

2009

Cited alongside, same era.

N. D. Birrell and P. C. W. Davies, “Quantum Fields in Curved Space,” doi:10.1017/CBO9780511622632

Cited in the paper.

L. E. Parker and D. Toms, “Quantum Field Theory in Curved Spacetime: Quantized Field and Gravity,” doi:10.1017/CBO9780511813924

Cited in the paper.

L. Parker, “Amplitude of Perturbations from Inflation,” [arXiv:hep-th/0702216 [hep-th]]

Cited in the paper.

Y. Urakawa and A. A. Starobinsky, “Adiabatic regularization of primordial perturbations generated during inflation,” 19th Workshop on General Relativity and Gravitation in Japan

Cited in the paper.

Original

2011

Later among the works it cites.

R. Dabrowski and G. V. Dunne, “Superadiabatic particle number in Schwinger and de Sitter particle production,” Phys. Rev. D 90

Original

2014

Later among the works it cites.

R. Dabrowski and G. V. Dunne, “Time dependence of adiabatic particle number,” Phys. Rev. D 94

Original

2016

Later among the works it cites.

T. Markkanen, “Renormalization of the inflationary perturbations revisited,” JCAP 05

Original

2018

Later among the works it cites.