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Dimensional reduction of spacrtime induced by nonlinear scalar dynamics and noncompact extra dimensions

Gell-Mann, Murray and Zwiebach, Barton (1985) Dimensional reduction of spacrtime induced by nonlinear scalar dynamics and noncompact extra dimensions. Nuclear Physics B, 260 (3-4). pp. 569-592. ISSN 0550-3213. doi:10.1016/0550-3213(85)90051-3.

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We discuss general aspects of dimensional reduction induced by nonlinear scalar dynamics, including the small fluctuation expansion of the action. The case of compact positively curved scalar manifolds described by symmetric spaces G/H is shown to be free of tachyonic instabilities; the spectrum consists of a graviton, a massless scalar and towers of massive spin-two, spin-one, and spin-zero fields. These towers are worked out explicitly for the case of a two-sphere. The case of noncompact negatively curved scalar manifolds inducing a noncompact nonhomogeneous space for the extra dimensions is studied in the particular example of SU(1,1)/U(1). The massless spectrum consists of a graviton and a scalar and suitable boundary conditions are seen to give a discrete spectrum, actual conservation of formally conserved quantities, and no problems of interpretation. We discuss positive energy.

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Additional Information:© 1985 Elsevier. Received 15 April 1985. Work supported in part by the US Department of Energy under contract No. DE-AC03-81-ER40050 and by the Fleischmann Foundation. Work supported by the National Science Foundation under Research Grant No. PHY-82-03424. We are happy to thank K. Bardakci, D.Z. Freedman, N. Marcus, W. Siegel, and C. Wetterich for discussions.
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Department of Energy (DOE)DE-AC03-81-ER40050
Fleischmann FoundationUNSPECIFIED
Issue or Number:3-4
Record Number:CaltechAUTHORS:20150923-074725024
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:60430
Deposited By: Ruth Sustaita
Deposited On:23 Sep 2015 16:28
Last Modified:10 Nov 2021 22:34

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