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2017

Higher Derivative Field Theories: Degeneracy Conditions and Classes

Crisostomi, Marco, Klein, Remko, Roest, Diederik

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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.

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