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Sigma-model aether

Carroll, Sean M. and Dulaney, Timothy R. and Gresham, Moira I. and Tam, Heywood (2009) Sigma-model aether. Physical Review D, 79 (6). 065012. ISSN 2470-0010.

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Theories of low-energy Lorentz violation by a fixed-norm “aether” vector field with two-derivative kinetic terms have a globally bounded Hamiltonian and are perturbatively stable only if the vector is timelike and the kinetic term in the action takes the form of a sigma model. Here we investigate the phenomenological properties of this theory. We first consider the propagation of modes in the presence of gravity and show that there is a unique choice of curvature coupling that leads to a theory without superluminal modes. Experimental constraints on this theory come from a number of sources, and we examine bounds in a two-dimensional parameter space. We then consider the cosmological evolution of the aether, arguing that the vector will naturally evolve to be orthogonal to constant-density hypersurfaces in a Friedmann-Robertson-Walker cosmology. Finally, we examine cosmological evolution in the presence of an extra compact dimension of space, concluding that a vector can maintain a constant projection along the extra dimension in an expanding universe only when the expansion is exponential.

Item Type:Article
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Carroll, Sean M.0000-0002-4226-5758
Additional Information:© 2009 American Physical Society. Received 16 January 2009; published 13 March 2009. We are very grateful to Ted Jacobson, Alan Kostelecky, and Mark Wise for helpful comments. This research was supported in part by the U.S. Department of Energy and by the Gordon and Betty Moore Foundation. PACS numbers: 11.30.Cp, 04.40.Nr
Group:Moore Center for Theoretical Cosmology and Physics
Funding AgencyGrant Number
U.S. Department of EnergyUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20090429-113052329
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14110
Deposited By: Jason Perez
Deposited On:01 May 2009 16:33
Last Modified:03 Oct 2019 00:47

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