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Abstract:

We study non-Gaussian signatures on the cosmic microwave background (CMB) radiation predicted within inflationary models with non-vacuum initial states for cosmological perturbations. The model incorporates a privileged scale, which implies the existence of a feature in the primordial power spectrum. This broken-scale-invariant model predicts a vanishing three-point correlation function for the CMB temperature anisotropies (or any other odd-numbered-point correlation function) whilst an intrinsic non-Gaussian signature arises for any even-numbered-point correlation function. We thus focus on the first non-vanishing moment, the CMB four-point function at zero lag, namely the kurtosis, and compute its expected value for different locations of the primordial feature in the spectrum, as suggested in the literature to conform with observations of large scale structure. The excess kurtosis is found to be negative and the signal to noise ratio for the dimensionless excess kurtosis parameter is equal to (Formula presented) almost independently of the free parameters of the model. This signature turns out to be undetectable. We conclude that, subject to current tests, Gaussianity is a generic property of single field inflationary models. The only uncertainty concerning this prediction is that the effect of back reaction has not yet been properly incorporated. The implications for the trans-Planckian problem of inflation are also briefly discussed. © 2002 The American Physical Society.

Registro:

Documento: Artículo
Título:Single field inflation and non-Gaussianity
Autor:Gangui, A.
Filiación:Instituto de Astronomía y Física del Espacio, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Institut d’Astrophysique de Paris, 98bis boulevard Arago, Paris, 75014, France
Department of Astrophysics, Astronomy and Mechanics, Panepistimiopolis, Zografos, GR-15784, Greece
Palabras clave:anisotropy; article; correlation function; cosmos; microwave radiation; model; normal distribution; signal noise ratio; spectrum; temperature; vacuum
Año:2002
Volumen:66
Número:8
DOI: http://dx.doi.org/10.1103/PhysRevD.66.083502
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v66_n8_p_Gangui

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Citas:

---------- APA ----------
(2002) . Single field inflation and non-Gaussianity. Physical Review D - Particles, Fields, Gravitation and Cosmology, 66(8).
http://dx.doi.org/10.1103/PhysRevD.66.083502
---------- CHICAGO ----------
Gangui, A. "Single field inflation and non-Gaussianity" . Physical Review D - Particles, Fields, Gravitation and Cosmology 66, no. 8 (2002).
http://dx.doi.org/10.1103/PhysRevD.66.083502
---------- MLA ----------
Gangui, A. "Single field inflation and non-Gaussianity" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 66, no. 8, 2002.
http://dx.doi.org/10.1103/PhysRevD.66.083502
---------- VANCOUVER ----------
Gangui, A. Single field inflation and non-Gaussianity. Phys Rev D Part Fields Gravit Cosmol. 2002;66(8).
http://dx.doi.org/10.1103/PhysRevD.66.083502