Imperial College London
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Prof. Andrew J. Tolley

Faculty of Natural Sciences, Department of Physics

Professor of Theoretical Physics
 
 
 
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Contact

 

+44 (0)20 7594 1526a.tolley

 
 
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Location

 

607Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{de:2017:10.1007/JHEP09(2017)072,
author = {de, Rham C and Melville, S and Tolley, AJ and Zhou, S-Y},
doi = {10.1007/JHEP09(2017)072},
journal = {Journal of High Energy Physics},
title = {Massive Galileon positivity bounds},
url = {http://dx.doi.org/10.1007/JHEP09(2017)072},
volume = {2017},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The EFT coefficients in any gapped, scalar, Lorentz invariant field theory must satisfy positivity requirements if there is to exist a local, analytic Wilsonian UV completion. We apply these bounds to the tree level scattering amplitudes for a massive Galileon. The addition of a mass term, which does not spoil the non-renormalization theorem of the Galileon and preserves the Galileon symmetry at loop level, is necessary to satisfy the lowest order positivity bound. We further show that a careful choice of successively higher derivative corrections are necessary to satisfy the higher order positivity bounds. There is then no obstruction to a local UV completion from considerations of tree level 2-to-2 scattering alone. To demonstrate this we give an explicit example of such a UV completion.
AU  - de,Rham C
AU  - Melville,S
AU  - Tolley,AJ
AU  - Zhou,S-Y
DO  - 10.1007/JHEP09(2017)072
PY  - 2017///
SN  - 1029-8479
TI  - Massive Galileon positivity bounds
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP09(2017)072
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000411030500005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/67511
VL  - 2017
ER  -
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