Revista Integración, temas de matemáticas.
Vol. 25 No. 1 (2007): Revista Integración, temas de matemáticas
Research and Innovation Articles

No gaussianidad primordial en la perturbación en la curvatura en el escenario del curvatón

Fredy F. Parada
Escuela de Física, Universidad Industrial de Santander, Bucaramanga, Colombia
Yeinzon Rodríguez
Centro de Investigaciones, Universidad Antonio Nariño

Published 2007-04-30

Keywords

  • Inflation,
  • generation of large-scale structures,
  • non-gaussianity

How to Cite

Parada, F. F., & Rodríguez, Y. (2007). No gaussianidad primordial en la perturbación en la curvatura en el escenario del curvatón. Revista Integración, Temas De matemáticas, 25(1), 33–38. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/260

Abstract

In the very successful and alternative model to the inflaton scenario, “the curvaton model”, two scalar fields are present during inflation: one, the inflaton, is in charge of generating and controlling the inflationary period, and another, the curvaton, is in charge of generating the primordial curvature perturbation ζ which in turn gives origen to the formation of large-scale structures in the Universe. The observed ζ is highly Gaussian, but the current satellite experiments, like NASA’s WMAP, search for a possible small deviation from the exact gaussianity. In this paper we will study the bispectrum Bζ (k1, k2, k3) of ζ in the curvaton scenario, whose normalisation fNL gives information about the level of non-gaussianity in ζ. This study will be done by making use of the δN formalism. We will explicitely state the advantage of this formalism and give an expression for fNL in the curvaton scenario.

 

Downloads

Download data is not yet available.

References

[1] A.R. Liddle, D.H. Lyth, Cosmological Inflation and Large-Scale Structure. Cambridge University Press, 2000.

[2] D.H. Lyth, D. Wands, “Generating the Curvature Perturbation without an Inflaton”, Physics Letters B, 524, 5-14, (2002).

[3] D.H. Lyth, C. Ungarelli, D. Wands, “Primordial Density Perturbation in the Curvaton Scenario”, Physical Review D, 67, 023503 (2003).

[4] J. Maldacena, “Non-Gaussian Features of Primordial Fluctuations in Single Field Inflationary Models”, Journal of High Energy Physics, 0305, 013 (2003).

[5] N. Bartolo, S. Matarrese, A. Riotto, “Non-Gaussianity in the Curvaton Scenario”, Physical Review D, 69, 043503 (2004).

[6] D.H. Lyth, Y. Rodríguez, “Inflationary Prediction for Primordial NonGaussianity”, Physical Review Letters, 95, 121302 (2005).

[7] Y. Rodríguez, The Origin of the Large-Scale Structure in the Universe: Theoretical and Statistical Aspects. arXiv:astro-ph/0507701.

[8] M. Sasaki, J. Väliviita, D. Wands, “Non-Gaussianity of the Primordial Perturbation in the Curvaton Model”, Physical Review D, 74, 103003 (2006).

[9] D.N. Spergel, et. al., “Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Cosmology”, Astrophysical Journal Supplement Series, 170, 377-408, (2007).

[10] E. Komatsu, D.N. Spergel, “Acoustic Signatures in the Primary Microwave Background Bispectrum”, Physical Review D, 63, 063002 (2001).

[11] R.K. Sachs, A.M. Wolfe, “Perturbations of a Cosmological Model and Angular Variations of the Microwave Background”, Astrophysical Journal, 147, 73-90, (1967).