Boundary conditions for metric fluctuations in Lifshitz

Andrade, T; Ross, Simon F.

doi:10.1088/0264-9381/30/19/195017

Boundary conditions for metric fluctuations in Lifshitz

Andrade, T; Ross, Simon F.

Authors

T Andrade

Professor Simon Ross s.f.ross@durham.ac.uk
Professor

Abstract

We consider the quantization of linearized fluctuations of the metric and matter fields about a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow fall-off modes to fluctuate. We find that for z > 2, slow fall-off modes for some of the linearized fluctuations are normalizable, which opens up the possibility of considering alternative boundary conditions. Analysing stability, we find that alternative boundary conditions for the momentum density are allowed, but alternative boundary conditions for the energy density lead to an instability of the type we recently discovered in a similar analysis for scalar fields on a fixed Lifshitz background. Our investigation is in the context of the simple massive vector model, but we would expect the conclusions to be more general.

Citation

Andrade, T., & Ross, S. F. (2013). Boundary conditions for metric fluctuations in Lifshitz. Classical and Quantum Gravity, 30(19), Article 195017. https://doi.org/10.1088/0264-9381/30/19/195017

Journal Article Type	Article
Publication Date	Oct 7, 2013
Deposit Date	Sep 13, 2013
Publicly Available Date	Dec 21, 2013
Journal	Classical and Quantum Gravity
Print ISSN	0264-9381
Electronic ISSN	1361-6382
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	30
Issue	19
Article Number	195017
DOI	https://doi.org/10.1088/0264-9381/30/19/195017

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Copyright Statement
© 2013 IOP Publishing. This is an author-created, un-copyedited version of an article accepted for publication in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0264-9381/30/19/195017.