Vol. 32 No. 125 (2008), Physical Sciences
Vol. 32 No. 125 (2008)

NON-GAUSSIANITY AND LOOP CORRECTIONS IN A QUADRATIC TWO-FIELD SLOW-ROLL MODEL OF INFLATION. PART 11

Physical Sciences
Published 2023-12-02
Heiner R. S. Cogollo
Escuela de Física, Universidad Industrial de Santander, Ciudad Universitaria, Bucaramanga, Colombia
Y. Rodríguez
Centro de Investigaciones, Universidad Antonio Nariño, Cra 3 Este No. 47A-15, Bogotá D.C., Colombia
César A. Valenzuela-Toledo
Escuela de Física, Universidad Industrial de Santander, Ciudad Universitaria, Bucaramanga, Colombia
PDF

Keywords

primordial curvature perturbation
non-gaussianity
slow-roll inflationary models.

How to Cite

NON-GAUSSIANITY AND LOOP CORRECTIONS IN A QUADRATIC TWO-FIELD SLOW-ROLL MODEL OF INFLATION. PART 11. (2023). Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 32(125), 515-526. https://doi.org/10.18257/raccefyn.32(125).2008.2339
ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver

Download Citation

Endnote/Zotero/Mendeley (RIS) BibTeX

Abstract

We calculate the trispectrum Tζ (k1 , k2 , k3, k4) of the primordial curvature perturbation ζ, gener­ated during a slow-roll inflationary epoch and considering a quadratic two-component scalar potential and canonical kinetic terms. We consider one-loop and tree leve] contlibutions, and show that it is pos­sible to attain observable values for the leve! of non-gaussianity T N L, if Tζ; is dominated by the one-loop contlibution. This work is performed by taking into account that there exists sorne physical restrictions that constrain the available parameter window. Such conditions are: thc existence of sorne coupling constants that guarantee the calculation in a perturbative regime, the relative weight of the one-loop and tree leve! contributions, the normalisation of the spectrum, the observed spectral index, and the mini mal amount of inflation required to solve the horizon problem.

PDF

References

Maldacena J., 2003. Non-gaussian features of primordial fluctua­tions in single field inflationary models. JHEP 0305, 013. Okamoto T. & Hu W., 2002. Angular trispectra of CMB tempera­ture and polarization. Phys. Rev. D 66, 063008.

The PLANCK Collaboration, 2006. The scientific programme of Planck. arXiv:astro-ph/0604069.

Rigopoulos G., Shellard E.P.S., & van Tent B.J.W., 2007. Quan­titative bispectra from multifield inflation. Phys. Rev. D 76, 083512.

Rodríguez Y., 2008. Non-gaussianity and loop corrections in a quadratic two-field slow-roll model of inflation. Part I. Submitted to Rev. Acad. Colomb. Cienc.

Sasaki M. & Stewart E.O., 1996. A general analytic formula for the spectral index of the density perturbations produced during in­flation. Prog. Theor. Phys. 95, 71.

Seery O. & Lidsey J.E., 2007. Non-gaussianity from the inflation­ary trispectrum. JCAP 0701, 008.

Seery O., Sloth M., & Vernizzi F., 2008. Inflationary trispectrum from graviton exchange. arXiv: 0811. 3934 [astro-ph].

Starobinsky A.A., 1985. Multicomponent de Sitter (inflationary) stages and the generation of perturbations. Pisma Zh. Eksp. Teor. Fiz. 42, 124. [JETP Lett. 42, 152].

Vaihkonen A., 2005. Comment on non-gaussianity in hybrid infla­tion. arXiv:astro-ph/0506304.

Vernizzi F. & Wands O., 2006. Non-gaussianities in two-field in­flation. JCAP 0605, 019.

Weinberg S., 2008. Cosmology, Oxford University Press, Oxford UK.

Yadav A.P.S. & Wandelt B.O., 2008. Evidence of primordial non­gaussianity (f N L) in the Wilkinson Microwave Anisotropy Probe 3-year data at2.8a. Phys. Rev. Lett.100, 181301.

Yokoyama S., Suyama T., & Tanaka T., 2008. Primordial non­gaussianity in multi-scalar inflation. Phys. Rev. D 77, 083511. Zaballa l., Rodríguez, Y., & Lyth O.H., 2006. Higher order con­tributions to the primordial non-gaussianity. JCAP 0606, 013.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Copyright (c) 2023 Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales