CaltechAUTHORS
  A Caltech Library Service

Instabilities in the aether

Carroll, Sean M. and Dulaney, Timothy R. and Gresham, Moira I. and Tam, Heywood (2009) Instabilities in the aether. Physical Review D, 79 (6). Art. No. 065011. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20090508-120529180

[img]
Preview
PDF - Published Version
See Usage Policy.

579Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20090508-120529180

Abstract

We investigate the stability of theories in which Lorentz invariance is spontaneously broken by fixed-norm vector “aether” fields. Models with generic kinetic terms are plagued either by ghosts or by tachyons, and are therefore physically unacceptable. There are precisely three kinetic terms that are not manifestly unstable: a sigma model (∂_µA_ν)^2, the Maxwell Lagrangian F_µνF^µν, and a scalar Lagrangian (∂_µA^µ)^2. The timelike sigma-model case is well defined and stable when the vector norm is fixed by a constraint; however, when it is determined by minimizing a potential there is necessarily a tachyonic ghost, and therefore an instability. In the Maxwell and scalar cases, the Hamiltonian is unbounded below, but at the level of perturbation theory there are fewer degrees of freedom and the models are stable. However, in these two theories there are obstacles to smooth evolution for certain choices of initial data.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.79.065011DOIArticle
http://link.aps.org/doi/10.1103/PhysRevD.79.065011PublisherArticle
ORCID:
AuthorORCID
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.
Group:Moore Center for Theoretical Cosmology and Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20090508-120529180
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20090508-120529180
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14187
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:13 May 2009 18:41
Last Modified:07 Aug 2018 22:52

Repository Staff Only: item control page