Scattering amplitudes in Lifshitz spacetime

Andrade, T.; Ross, Simon F.; Lei, Y.

doi:10.1088/0264-9381/31/21/215002

Scattering amplitudes in Lifshitz spacetime

Andrade, T.; Ross, Simon F.; Lei, Y.

Authors

T. Andrade

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

Y. Lei

Abstract

We consider the calculation of scattering amplitudes in field theories dual to Lifshitz spacetimes. These amplitudes provide an interesting probe of the IR structure of the field theory; our aim is to use them to explore the observable consequences of the singularity in the spacetime. We assume the amplitudes can be related by T-duality to a Wilson loop, as in the AdS case, and determine the bulk minimal surfaces for the simplest cusp Wilson loop. We use this to determine the leading IR singularity in the amplitude. We find there is a stronger IR singularity for z > 1 than for z = 1, with a coefficient that vanishes as z → 1.

Citation

Andrade, T., Ross, S. F., & Lei, Y. (2014). Scattering amplitudes in Lifshitz spacetime. Classical and Quantum Gravity, 31(21), Article 215002. https://doi.org/10.1088/0264-9381/31/21/215002

Journal Article Type	Article
Publication Date	Nov 7, 2014
Deposit Date	Oct 17, 2014
Publicly Available Date	Oct 17, 2014
Journal	Classical and Quantum Gravity
Print ISSN	0264-9381
Electronic ISSN	1361-6382
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	31
Issue	21
Article Number	215002
DOI	https://doi.org/10.1088/0264-9381/31/21/215002
Keywords	Holography, Lifshitz, Amplitudes.

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Copyright Statement
© 2014 IOP Publishing Ltd. 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/10.1088/0264-9381/31/21/215002.