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Classical duals, Legendre transforms and the Vainshtein mechanism

Padilla, Antonio; Saffin, Paul M.

Authors

Antonio Padilla

Paul M. Saffin



Abstract

We show how to generalize the classical duals found by Gabadadze {et al} to a very large class of self-interacting theories. This enables one to adopt a perturbative description beyond the scale at which classical perturbation theory breaks down in the original theory. This is particularly relevant if we want to test modified gravity scenarios that exhibit Vainshtein screening on solar system scales. We recognise the duals as being related to the Legendre transform of the original Lagrangian, and present a practical method for finding the dual in general; our methods can also be applied to self-interacting theories with a hierarchy of strong coupling scales, and with multiple fields. We find the classical dual of the full quintic galileon theory as an example.

Journal Article Type Article
Publication Date Jul 20, 2012
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 2012
Issue 7
Article Number 122
Institution Citation Padilla, A., & Saffin, P. M. (2012). Classical duals, Legendre transforms and the Vainshtein mechanism. Journal of High Energy Physics, 2012(7), doi:10.1007/JHEP07(2012)122
DOI https://doi.org/10.1007/JHEP07%282012%29122
Keywords Classical theories of gravity, Supersymmetry and duality
Publisher URL https://doi.org/10.1007/JHEP07(2012)122
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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