Casimir effect in rugbyball type flux compactifications
Abstract
As a continuation of the work by Minamitsuji, Naylor, and Sasaki [J. High Energy Phys. 12 (2006) 079], 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 oneloop effective potential for the volume modulus has a form similar to the ColemanWeinberg 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, {zeta}{sup '}(0) (in a conformally related spacetime) is also required. By adding up the exact mass spectrum using zetafunction 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 [J. High Energy Phys. 12 (2006) 079] 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.
 Authors:
 Consejo Superior de Investigaciones Cientificas, ICE/CSIC and IEEC, Campus UAB, Fac Ciencies, 08193 Bellaterra (Barcelona) (Spain)
 ASC, Physics Department, LMU, Theresienstr. 37, Munich (Germany)
 (Japan)
 Department of Physics, Ritsumeikan University, Kusatsu, Shiga 5258577 (Japan)
 Publication Date:
 OSTI Identifier:
 21020178
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.064032; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; CASIMIR EFFECT; COMPACTIFICATION; CORRECTIONS; COSMOLOGY; COUPLING; MASS SPECTRA; POTENTIALS; QUANTUM FIELD THEORY; SCALAR FIELDS; SPACETIME; STABILIZATION; SUPERGRAVITY
Citation Formats
Elizalde, Emilio, Minamitsuji, Masato, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 6068502, and Naylor, Wade. Casimir effect in rugbyball type flux compactifications. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.064032.
Elizalde, Emilio, Minamitsuji, Masato, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 6068502, & Naylor, Wade. Casimir effect in rugbyball type flux compactifications. United States. doi:10.1103/PHYSREVD.75.064032.
Elizalde, Emilio, Minamitsuji, Masato, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 6068502, and Naylor, Wade. Thu .
"Casimir effect in rugbyball type flux compactifications". United States.
doi:10.1103/PHYSREVD.75.064032.
@article{osti_21020178,
title = {Casimir effect in rugbyball type flux compactifications},
author = {Elizalde, Emilio and Minamitsuji, Masato and Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 6068502 and Naylor, Wade},
abstractNote = {As a continuation of the work by Minamitsuji, Naylor, and Sasaki [J. High Energy Phys. 12 (2006) 079], 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 oneloop effective potential for the volume modulus has a form similar to the ColemanWeinberg 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, {zeta}{sup '}(0) (in a conformally related spacetime) is also required. By adding up the exact mass spectrum using zetafunction 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 [J. High Energy Phys. 12 (2006) 079] 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.},
doi = {10.1103/PHYSREVD.75.064032},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}

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