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Classical duals, Legendre transforms and the Vainshtein mechanism

Padilla, Antonio; Saffin, Paul M.

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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.


Padilla, A., & Saffin, P. M. (2012). Classical duals, Legendre transforms and the Vainshtein mechanism. Journal of High Energy Physics, 2012(7), Article 122.

Journal Article Type Article
Acceptance Date Jul 7, 2012
Publication Date Jul 20, 2012
Deposit Date Apr 24, 2017
Publicly Available Date Apr 24, 2017
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 2012
Issue 7
Article Number 122
Keywords Classical theories of gravity, Supersymmetry and duality
Public URL
Publisher URL


Duals art%3A10.1007%2FJHEP07%282012%29122.pdf (329 Kb)

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