Abstract
We use an excited-de Sitter mode as the fundamental mode function for the far past time limit during inflation, to study the corrections of spectra of curvature perturbation. Excited-de Sitter mode is actually the approximate solution of the inflaton field equation that asymptotically approaches to the de Sitter mode function in the first approximation. We build coherent state over excited-de Sitter mode. Then, we compute spectrum of the curvature perturbation with this coherent state as the initial state. We show that in this case, the spectrum of curvature perturbation is scale dependent. As a important result of using this coherent state, we find a non-zero non-Gaussian one-point function as a possible tiny source for generation of anisotropy in CMB from the initial mode in the string or Planck scale.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Notes
If Λ is the Planck scale, \(\frac {H}{\Lambda }\) is at most 10−4. If Λ is the string scale, \(\frac {H}{\Lambda }\) could possibly be 10−2 [24].
References
Guth, A.H.: The inflationary universe: A possible solution to the horizon and flatness problems. Phys. Rev. D 23, 347 (1981)
Linde, A.: Particles Physics and Inflationary Cosmology. Harwood Academic, Reading (1991)
Bunch, T.S., Davies, P.C.W.: Quantum field theory in de sitter space: Renormalization by point splitting. Proc. Roy. Soc. Lond. A 360, 117 (1978)
Bahrami, S., Flanagan, E.E.: Primordial non-Gaussianities in single field inflationary models with nontrivial initial states, arXiv:astro-ph/1310.4482
Xue, W., Chen, B.: α-vacuum and inflationary bispectrum. Phys. Rev. D 79 (2009). arXiv:hep-th/0806.4109
Agarwal, N., Holman, R., Tolley, A.J., Lin, J.: Effective field theory and non-Gaussianity from general inflationary states. JHEP 1305, 085 (2013). arXiv:hep-th/1212.1172
Nitti, F., Porrati, M., J.-W.: Rombouts, naturalness in cosmological initial conditions. Phys. Rev. D 72, 063503 (2005). arXiv:hep-th/0503247
Porrati, M.: Effective field theory approach to cosmological initial conditions: Self-consistency bounds and non-Gaussianities. arXiv:hep-th/0409210
Aravind, A., Lorshbough, D., Paban, S.: Non-Gaussianity from excited initial inflationary states. JHEP 07, 076 (2013). arXiv:hep-th/1303.1440
Kundu, S.: Inflation with general initial conditions for scalar perturbations. JCAP 1202, 005 (2012). arXiv:astro-ph/1110.4688
Kundu, S.: Non-Gaussianity consistency relations, initial states and back-reaction. arXiv:astro-ph/1311.1575
Ashoorioon, A., Shiu, G.: A note on calm excited states of inflation. JCAP 1103, 025 (2011). arXiv:1012.3392
Agullo, I., Parker, L.: Non-gaussianities and the stimulated creation of quanta in the inflationary universe. Phys. Rev. D 83, 063526 (2011). arXiv:astro-ph/1010.5766
Birrel, N.D., Davis, P.C.: Quantum Fields in Curved Space. Cambridge University Press, Cambridge (1982)
Linde, A.D.: Inflationary Cosmology and Particle Physics. Harwood (1990)
Mohsenzadeh, M., Tanhayi, M.R., Yusofi, E.: Eur. Phys. J. C 74, 2920 (2014). doi:10.1140/epjc/s10052-014-2920-5. arXiv:hep-th/1306.6722
Yusofi, E., Mohsenzadeh, M.: Non-linear trans-planckian corrections of spectra due to the non-trivial initial states. Phys. Lett. 737B, 261 (2014)
Baumann, D.: TASI Lectures on Inflation, TASI. arXiv:hep-th/0907.5424 (2009)
Mukhanov, V.: Physical Foundations of Cosmology (2001)
Armendariz-Picon, C., Lim, E.A.: JCAP 0312, 006 (2003). arXiv:hep-th/0303103
Kaloper, N., Kleban, M., Lawrence, A.E., Shenker, S.: Signatures of short distance physics in the cosmic microwave background. Phys. Rev. D 66, 123510 (2002). arXiv:hep-th/0201158
Ade, P.A.R., et al.: Planck 2013 Results. XXII. Constraints on Inflation. arXiv:astro-ph/1303.5082
Unnikrishnana, S., Sahni, V.: Resurrecting power law inflation in the light of planck results. JCAP 10, 063 (2013). arXiv:astro-ph/1305.5260
Danielsson, U.H.: A note on inflation and transplanckian physics. Phys. Rev. D 66, 023511 (2002). arXiv:hep-th/0203198
Acknowledgments
The authors would like to thank M.V. Takook and M. R. Tanhayi for useful comments. This work has been supported by the Islamic Azad University, Qom Branch, Qom, Iran.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mohsenzadeh, M., Yusofi, E. Spectra in Coherent States with Excited-de Sitter Mode during Inflation. Int J Theor Phys 55, 1300–1306 (2016). https://doi.org/10.1007/s10773-015-2770-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-015-2770-4