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Non-minimal Particle Creation from Asymptotic-de Sitter Inflation

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Abstract

A general form of quasi-de Sitter(dS) modes is used to study the creation of particle during the inflation. Actually, by considering the general form of inflaton field equation as a function of the Hankel function index and by using the Planck 2015 constraint on spectral index, we obtain the possible new constraints for the values of coupling constant in the era with asymptotic-dS space-time. Then, we explicitly calculate the general form of expectation value of the created particles in terms of the Hankel function index and the conformal time. The correction terms in the number of created particles are very tiny in the early time but can have the significant effects in the later universe. Our result is general and at the early time limit confirm the conventional special results for the Minkowski and dS background.

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Acknowledgements

We would like to thank M. V. Takook and K. nozari for useful and serious discussions about this work. This work has been supported by the Islamic Azad University, Ayatollah Amoli Branch, Amol, Mazandaran, Iran.

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Authors and Affiliations

  1. Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran

    E. Yusofi

  2. School of Astronomy, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran

    E. Yusofi

  3. Department of Physics, Qom Branch, Islamic Azad University, Qom, Iran

    M. Mohsenzadeh

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  1. E. Yusofi
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Correspondence to E. Yusofi.

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Yusofi, E., Mohsenzadeh, M. Non-minimal Particle Creation from Asymptotic-de Sitter Inflation. Int J Theor Phys 57, 1622–1630 (2018). https://doi.org/10.1007/s10773-018-3689-3

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  • DOI: https://doi.org/10.1007/s10773-018-3689-3

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