Higher derivative field theories: degeneracy conditions and classes

Marco Crisostomi*, Remko Klein, Diederik Roest

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

47 Citaten (Scopus)
120 Downloads (Pure)


We provide a full analysis of ghost free higher derivative field theories with coupled degrees of freedom. Assuming the absence of gauge symmetries, we derive the degeneracy conditions in order to evade the Ostrogradsky ghosts, and analyze which (non) trivial classes of solutions this allows for. It is shown explicitly how Lorentz invariance avoids the propagation of "half" degrees of freedom. Moreover, for a large class of theories, we construct the field redefinitions and/or (extended) contact transformations that put the theory in a manifestly first order form. Finally, we identify which class of theories cannot be brought to first order form by such transformations.

Originele taal-2English
Aantal pagina's29
TijdschriftJournal of High Energy Physics
Nummer van het tijdschrift6
StatusPublished - 23-jun.-2017

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