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TMF, 2012, Volume 170, Number 2, Pages 188–205 (Mi tmf6758)  

This article is cited in 2 scientific papers (total in 2 papers)

Cosmological density perturbations in a conformal scalar field theory

M. V. Libanov, V. A. Rubakov

Institute for Nuclear Research, RAS, Moscow, Russia

Abstract: We consider a scenario in which primordial scalar perturbations are generated when a complex conformal scalar field rolls down its negative quartic potential. Initially, these are perturbations of the phase of this field, which are then converted into adiabatic perturbations of the density. The existence of perturbations in the radial field direction, which have a red power spectrum, is a potentially dangerous feature of this scenario. But we show that in the linear order in the small parameter, the self-coupling, the infrared effects are completely nullified by an appropriate field redefinition. We evaluate the statistical anisotropy inherent in the model because of the presence of the long-wave perturbations of the radial field component. In the linear order in the self-coupling, the infrared effects do not affect the statistical anisotropy. They are manifested only at the quadratic order in the self-coupling, weakly (logarithmically) enhancing the corresponding contribution to the statistical anisotropy. The resulting statistical anisotropy is a combination of a large term, which decreases as the momentum increases, and a momentum-independent nonamplified term.

Keywords: inflation alternative, cosmological perturbation theory, statistical anisotropy

DOI: https://doi.org/10.4213/tmf6758

Full text: PDF file (520 kB)
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English version:
Theoretical and Mathematical Physics, 2012, 170:2, 151–165

Bibliographic databases:

Received: 12.02.2012

Citation: M. V. Libanov, V. A. Rubakov, “Cosmological density perturbations in a conformal scalar field theory”, TMF, 170:2 (2012), 188–205; Theoret. and Math. Phys., 170:2 (2012), 151–165

Citation in format AMSBIB
\Bibitem{LibRub12}
\by M.~V.~Libanov, V.~A.~Rubakov
\paper Cosmological density perturbations in a~conformal scalar field theory
\jour TMF
\yr 2012
\vol 170
\issue 2
\pages 188--205
\mathnet{http://mi.mathnet.ru/tmf6758}
\crossref{https://doi.org/10.4213/tmf6758}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3168832}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...170..151L}
\elib{http://elibrary.ru/item.asp?id=20732414}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 170
\issue 2
\pages 151--165
\crossref{https://doi.org/10.1007/s11232-012-0017-6}
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\elib{http://elibrary.ru/item.asp?id=17979398}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857943781}


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  • https://doi.org/10.4213/tmf6758
  • http://mi.mathnet.ru/eng/tmf/v170/i2/p188

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. JETP Letters, 102:8 (2015), 561–570  mathnet  crossref  crossref  isi  elib
    2. Libanov M., Rubakov V., “Perturbations on and off de Sitter brane in anti–de Sitter bulk”, Phys. Rev. D, 94:6 (2016), 064076  crossref  mathscinet  isi  elib  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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