Casimir effect in rugby-ball type flux compactifications

Emilio Elizalde, Masato Minamitsuji, Wade Naylor

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    32 Citations (Scopus)


    As a continuation of the work by Minamitsuji, Naylor, and Sasaki, we discuss the Casimir effect for a massless bulk scalar field in a 4D toy model of a 6D warped flux compactification model, to stabilize the volume modulus. The one-loop effective potential for the volume modulus has a form similar to the Coleman-Weinberg potential. The stability of the volume modulus against quantum corrections is related to an appropriate heat kernel coefficient. However, to make any physical predictions after volume stabilization, knowledge of the derivative of the zeta function, ζ′(0) (in a conformally related spacetime) is also required. By adding up the exact mass spectrum using zeta-function regularization, we present a revised analysis of the effective potential. Finally, we discuss some physical implications, especially concerning the degree of the hierarchy between the fundamental energy scales on the branes. For a larger degree of warping our new results are very similar to the ones given by Minamitsuji, Naylor, and Sasaki and imply a larger hierarchy. In the nonwarped (rugby ball) limit the ratio tends to converge to the same value, independently of the bulk dilaton coupling. © 2007 The American Physical Society.
    Original languageEnglish
    Article number064032
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Issue number6
    Publication statusPublished - 28 Mar 2007


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