Statistical anisotropy of the curvature perturbation from vector field perturbations
Abstract
The {delta}N formula for the primordial curvature perturbation {zeta} is extended to include vector as well as scalar fields. Formulas for the treelevel contributions to the spectrum and bispectrum of {zeta} are given, exhibiting statistical anisotropy. The oneloop contribution to the spectrum of {zeta} is also worked out. We then consider the generation of vector field perturbations from the vacuum, including the longitudinal component that will be present if there is no gauge invariance. Finally, the {delta}N formula is applied to the vector curvaton and vector inflation models with the tensor perturbation also evaluated in the latter case.
 Authors:

 Department of Physics, Lancaster University, Lancaster LA1 4YB (United Kingdom)
 Centro de Investigaciones, Universidad Antonio Narino, Cra 3 Este 47A15, Bogota D.C. (Colombia)
 Publication Date:
 OSTI Identifier:
 22156995
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Cosmology and Astroparticle Physics
 Additional Journal Information:
 Journal Volume: 2009; Journal Issue: 05; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 14757516
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANISOTROPY; GAUGE INVARIANCE; INFLATIONARY UNIVERSE; SPECTRA; STATISTICS; VECTOR FIELDS
Citation Formats
Dimopoulos, Konstantinos, Karciauskas, Mindaugas, Lyth, David H., and Rodriguez, Yeinzon. Statistical anisotropy of the curvature perturbation from vector field perturbations. United States: N. p., 2009.
Web. doi:10.1088/14757516/2009/05/013.
Dimopoulos, Konstantinos, Karciauskas, Mindaugas, Lyth, David H., & Rodriguez, Yeinzon. Statistical anisotropy of the curvature perturbation from vector field perturbations. United States. https://doi.org/10.1088/14757516/2009/05/013
Dimopoulos, Konstantinos, Karciauskas, Mindaugas, Lyth, David H., and Rodriguez, Yeinzon. Fri .
"Statistical anisotropy of the curvature perturbation from vector field perturbations". United States. https://doi.org/10.1088/14757516/2009/05/013.
@article{osti_22156995,
title = {Statistical anisotropy of the curvature perturbation from vector field perturbations},
author = {Dimopoulos, Konstantinos and Karciauskas, Mindaugas and Lyth, David H. and Rodriguez, Yeinzon},
abstractNote = {The {delta}N formula for the primordial curvature perturbation {zeta} is extended to include vector as well as scalar fields. Formulas for the treelevel contributions to the spectrum and bispectrum of {zeta} are given, exhibiting statistical anisotropy. The oneloop contribution to the spectrum of {zeta} is also worked out. We then consider the generation of vector field perturbations from the vacuum, including the longitudinal component that will be present if there is no gauge invariance. Finally, the {delta}N formula is applied to the vector curvaton and vector inflation models with the tensor perturbation also evaluated in the latter case.},
doi = {10.1088/14757516/2009/05/013},
url = {https://www.osti.gov/biblio/22156995},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {14757516},
number = 05,
volume = 2009,
place = {United States},
year = {2009},
month = {5}
}
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