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Excitation of Kaluza-Klein modes of U(1) field by parametric resonance

Yoshiyuki Morisawa·Kunihito Uzawa·Shinji Mukohyama
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Abstract

In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=ω_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $ω_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified. This is a restatement of the criterion proposed previously [S. Mukohyama, Phys. Rev. {\bf D57}, 6191 (1998)]. As an example, we consider a model of compactification by a sphere and investigate Kaluza-Klein modes of U(1) field. In this case the parametric resonance is so mild that the sphere model is not ruled out.

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Yoshiyuki Morisawa, Kunihito Uzawa, Shinji Mukohyama. 2000-05-10. Excitation of Kaluza-Klein modes of U(1) field by parametric resonance. https://doi.org/10.1103/physrevd.62.104019

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