Rothstein, Ira Z. (2013) Gravitational Anderson Localization. Physical Review Letters, 110 (1). Art. No. 011601. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20130205-161136329
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We present a higher dimensional model where gravity is bound to a brane due to Anderson localization. The extra dimensions are taken to be a disordered crystal of branes, with randomly distributed tensions of order the fundamental scale. Such geometries bind the graviton and thus allow for arbitrarily large extra dimensions even when the curvature is small. Thus this model is quite distinct from that of Randall and Sundrum where localization is a consequence of curvature effects in the bulk. The hierarchy problem can be solved by having the standard model brane live a distance away from the brane on which the graviton is localized. The statistical properties of the system are worked out and it is shown that the scenario leads to a continuum of four dimensional theories with differing strengths of gravitational interactions. We live on one particular brane whose gravitational constant is G_N.
|Additional Information:||© 2013 American Physical Society. Received 4 June 2012; published 2 January 2013. Work supported by DOE Contracts No. DOE-ER-40682-143 and No. DEAC02-6CH03000. The authors gratefully acknowledges helpful conversations with Gil Refael, David Pekker, and Sean Carroll. The authors received support from the Gordon and Betty Moore Foundation and thank Cal-Tech theory group for its hospitality.|
|Classification Code:||PACS: 11.25.Wx, 11.10.Kk, 72.15.Rn|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Jason Perez|
|Deposited On:||07 Feb 2013 00:32|
|Last Modified:||07 Feb 2013 00:32|
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