Professor ANTONIO PADILLA antonio.padilla@nottingham.ac.uk
PROFESSOR OF PHYSICS
Classical duals, Legendre transforms and the Vainshtein mechanism
Padilla, Antonio; Saffin, Paul M.
Authors
Professor PAUL SAFFIN PAUL.SAFFIN@NOTTINGHAM.AC.UK
PROFESSOR OF PHYSICS
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.
Citation
Padilla, A., & Saffin, P. M. (2012). Classical duals, Legendre transforms and the Vainshtein mechanism. Journal of High Energy Physics, 2012(7), Article 122. https://doi.org/10.1007/JHEP07%282012%29122
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 |
DOI | https://doi.org/10.1007/JHEP07%282012%29122 |
Keywords | Classical theories of gravity, Supersymmetry and duality |
Public URL | https://nottingham-repository.worktribe.com/output/710629 |
Publisher URL | https://doi.org/10.1007/JHEP07(2012)122 |
Contract Date | Apr 24, 2017 |
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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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