CoChat
Sign Up
Cited by 179Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

Adiabatic and isocurvature perturbations for multifield generalized Einstein models

Open access
Di Marco, F., Finelli, F., Brandenberger, R.·2003·Physical Review D
DOI 10.1103/physrevd.67.063512
Open this paper in CoChat — free accountOpen PDF

Abstract

Low energy effective field theories motivated by string theory will likely contain several scalar moduli fields which will be relevant to early Universe cosmology. Some of these fields are expected to couple with nonstandard kinetic terms to other fields. In this paper, we study the splitting into adiabatic and isocurvature perturbations for a model with two scalar fields, one of which has a nonstandard kinetic term in the Einstein-frame action. Such actions can arise, e.g., in the pre-big-bang and ekpyrotic scenarios. The presence of a coupling through a nonstandard kinetic term induces a novel coupling between adiabatic and isocurvature perturbations which is nonvanishing when the potential for the matter fields is nonzero. This coupling is unsuppressed in the long wavelength limit and thus can lead to an important transfer of power from the entropy to the adiabatic mode on super-Hubble scales. We apply the formalism to the case of a previously found exact solution with an exponential potential and study the resulting mixing of adiabatic and isocurvature fluctuations in this example. We also discuss the possible relevance of the extra coupling in the perturbation equations for the process of generating an adiabatic component of the fluctuation spectrum from isocurvature perturbations without considering a later decay of the isocurvature component.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevd.67.063512

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The paper derives general formulae for the running of the spectral indices for the adiabatic, isocurvature and correlation spectra in the case of two-field inflation.

    “For such theories we derive the general formulae for the running of the spectral indices for the adiabatic, isocurvature and correlation spectra in the case of two-field inflation.”

    From Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models (2007) · cites this paper as [28]

    Section IV (p. 5) gives spectral indices for adiabatic and isocurvature perturbations in an exact two-field inflationary solution. It does not provide general formulae for the running of those indices or for a correlation spectrum. (LLM, conf=0.86)

    Experimental — accuracy not yet measured

  • The spectral indices are given in terms of slow-roll parameters as calculated in [28].

    “The spectral indices are best written in terms of slow-roll parameters.They have been calculated in [28] and are given by”

    From Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models (2007) · cites this paper as [28]

    Section IV (pp. 5–6) calculates spectral indices for an exact inflationary solution and presents them as functions of p and tan θ. The passages do not give the indices in terms of slow-roll parameters, so that part of the attribution is unsupported by our copy. (LLM, conf=0.83)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

No references could be resolved yet.

Research works printed but not linked: 29

  1. [2]M. Gasperini and G. Veneziano, Astropart. Phys. 1 , 317 (1993) [arXiv:hep-th/9211021]. · arXiv
  2. [3]J. E. Lidsey, D. Wands and E. J. Copeland, Phys. Rept. 337 , 343 (2000) [arXiv:hep-th/9909061]. · arXiv
  3. [5]J. Khoury, B. A. Ovrut, P. J. Steinhardt and N. Turok, Phys. Rev. D 64 , 123522 (2001) [arXiv:hep-th/0103239]. · arXiv
  4. [6]P. Kraus, JHEP 9912 , 011 (1999) [arXiv:hep-th/9910149]. · arXiv
  5. [7]A. Kehagias and E. Kiritsis, JHEP 9911 , 022 (1999) [arXiv:hep-th/9910174]. · arXiv
  6. [8]S. H. Alexander, JHEP 0011 , 017 (2000) [arXiv:hepth/9912037].
  7. [9]R. Brustein, M. Gasperini, M. Giovannini, V. F. Mukhanov and G. Veneziano, Phys. Rev. D 51 , 6744 (1995) [arXiv:hep-th/9501066]. · arXiv
  8. [10]D. H. Lyth, Phys. Lett. B 524 , 1 (2002) [arXiv:hepph/0106153].
  9. [11]R. Brandenberger and F. Finelli, JHEP 0111 , 056 (2001) [arXiv:hep-th/0109004]. · arXiv
  10. [12]J. c. Hwang, Phys. Rev. D 65 , 063514 (2002) [arXiv:astroph/0109045].
  11. [13]S. Tsujikawa, Phys. Lett. B 526 , 179 (2002) [arXiv:grqc/0110124].
  12. [15]J. Khoury, B. A. Ovrut, P. J. Steinhardt and N. Turok, Phys. Rev. D 66 , 046005 (2002) [arXiv:hep-th/0109050]. · arXiv
  13. [17]E. J. Copeland, R. Easther and D. Wands, Phys. Rev. D 56 , 874 (1997) [arXiv:hep-th/9701082]. · arXiv
  14. [18]S. Rasanen, Nucl. Phys. B 626 , 183 (2002) [arXiv:hepth/0111279].
  15. [19]R. Kallosh, L. Kofman and A. D. Linde, Phys. Rev. D 64 , 123523 (2001) [arXiv:hep-th/0104073]. · arXiv
  16. [20]V. Bozza, M. Gasperini, M. Giovannini and G. Veneziano, Phys. Lett. B 543 , 14 (2002) [arXiv:hep-ph/0206131]. · arXiv
  17. [21]D. H. Lyth and D. Wands, Phys. Lett. B 524 , 5 (2002) [arXiv:hep-ph/0110002]. · arXiv
  18. [23]K. Enqvist and M. S. Sloth, Nucl. Phys. B 626 , 395 (2002) [arXiv:hep-ph/0109214]. · arXiv
  19. [24]T. Moroi and T. Takahashi, Phys. Lett. B 522 , 215 (2001) [arXiv:hep-ph/0110096]. · arXiv
  20. [28]C. Gordon, D. Wands, B. A. Bassett and R. Maartens, Phys. Rev. D 63 , 023506 (2001) [arXiv:astro-ph/0009131]. · arXiv
  21. [30]A. A. Starobinsky, S. Tsujikawa and J. Yokoyama, Nucl. Phys. B 610 , 383 (2001) [arXiv:astro-ph/0107555]. · arXiv
  22. [(2002) [arXiv:hep-th/0112249].](http://arxiv.org/abs/hep-th/0112249) · arXiv
  23. [33]J. Garcia-Bellido and D. Wands, Phys. Rev. D 52 , 6739 (1995) [arXiv:gr-qc/9506050]. · arXiv
  24. [37]E. J. Copeland, J. Gray and A. Lukas, Phys. Rev. D 64 , 126003 (2001) [arXiv:hep-th/0106285]. · arXiv
  25. [38]K. A. Malik and D. Wands, Phys. Rev. D 59 , 123501 (1999) [arXiv:astro-ph/9812204]. · arXiv
  26. [39]F. Finelli and R. Brandenberger, Phys. Rev. D 62 , 083502 (2000) [arXiv:hep-ph/0003172]. · arXiv
  27. [40]M. Parry and R. Easther, Phys. Rev. D 59 , 061301 (1999) [arXiv:hep-ph/9809574]; M. Parry and R. Easther, Phys. Rev. D 62 , 103503 (2000) [arXiv:hep-ph/9910441]; F. Finelli and S. Khlebnikov, Phys. Lett. B 504 , 309 (2001) [arXiv:hep-ph/0009093]; F. Finelli and S. Khlebnikov, Phys. Rev. D 65 , 043505 (2002) [arXiv:hep-ph/0107143]. · arXiv
  28. [41]A. D. Linde and V. Mukhanov, Phys. Rev. D 56 , 535 (1997) [arXiv:astro-ph/9610219]. · arXiv
  29. [42]G. N. Felder, A. Frolov, L. Kofman and A. Linde, Phys. Rev. D 66 , 023507 (2002) [arXiv:hep-th/0202017]. · arXiv

Cited by

Sorted by citations

Authors
Di Marco, F., Finelli, F., & Brandenberger, R.
Affiliations
  • University of Bologna (IT)
  • Brown University (US)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2003-03-26
Volume
67
Issue
6
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.67.063512
OpenAlex
W1985818241
Cited by
179
References
0
Citations by year
2026: 3 · 2025: 3 · 2024: 4 · 2023: 8 · 2022: 11 · 2021: 11 · 2020: 10 · 2019: 7 · 2018: 9 · 2017: 8 · 2016: 6 · 2015: 8 · 2014: 7 · 2013: 10 · 2012: 8
FWCI
4.63
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Funders
U.S. Department of Energy
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
adiabatic perturbations, isocurvature perturbations, multi-field inflation, scalar field coupling, pre-big bang scenario, entropy perturbations, power transfer, exact solutions, exponential potential, early universe cosmology

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review