Are Kaluza-Klein modes enhanced by parametric resonance?

研究成果: Article査読

4 被引用数 (Scopus)


We study parametric amplification of Kaluza-Klein (KK) modes in a higher (Formula presented) generalized Kaluza-Klein theory, which was originally considered by Mukohyama in the narrow resonance case. It was suggested that KK modes can be enhanced by an oscillation of a scale of compactification by the (Formula presented) sphere (Formula presented) and by the direct product (Formula presented) We extend this past work to the more general case where initial values of the scale of compactification and the quantum number of the angular momentum (Formula presented) of KK modes are not small. We perform analytic approaches based on the Mathieu equation as well as numerical calculations, and find that the expansion of the universe rapidly makes the KK field deviate from instability bands. As a result, KK modes are not enhanced sufficiently in an expanding universe in these two classes of models.

ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
出版ステータスPublished - 2000

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)


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