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Prog. Theor. Phys. Vol. 108 No. 3 (2002) pp. 471-494

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Quantum Radion on de Sitter Branes

Uchida Gen1,2 and Misao Sasaki1

1Department of Earth and Space Science, Graduate School of Science,
Osaka University, Toyonaka 560-0043, Japan
2Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

(Received May 17, 2002)

Abstract:

The quantum fluctuation of the relative location of two (n-1)-dimensional de Sitter branes (which have n spacetime dimensions) embedded in an (n+1)-dimensional anti-de Sitter bulk, which we call the “quantum radion", is investigated at the linear order in perturbation theory. The quantization of the radion is carried out by deriving the effective action of the radion. Assuming that the positive tension brane represents our universe, the effect of the quantum radion is evaluated by using the effective Einstein equations on the brane, in which the radion contributes to the effective energy momentum tensor at the linear order of the radion amplitude. Specifically, the rms effective energy density arising from the quantum radion is compared with the background energy density. It is found out that this ratio remains small for reasonable values of the parameters of the model even without introducing a stabilizing mechanism for the radion, although the radion itself has a negative mass squared and is unstable. The reason behind this phenomenon is also discussed.


URL : http://ptp.ipap.jp/link?PTP/108/471/
DOI : 10.1143/PTP.108.471

[ Full Text PDF : FREE ACCESS (225K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 109 No. 3 (2003) pp. 357-369 :
    Born-Again Braneworld
    Sugumi Kanno, Misao Sasaki and Jiro Soda
  2. Progress of Theoretical Physics Vol. 112 No. 3 (2004) pp. 451-473 :
    Linearized Gravity on the de Sitter Brane in the Einstein Gauss-Bonnet Theory
    Masato Minamitsuji and Misao Sasaki
  3. Progress of Theoretical Physics Supplement No.148 (2002) pp. 181-212 :
    Brane Cosmology
    David Langlois
  4. Progress of Theoretical Physics Supplement No.148 (2002) pp. 259-266 :
    Radion and Large Scale Anisotropy on the Brane
    Kazuya Koyama

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