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arxiv: hep-th/9802115 · v2 · submitted 1998-02-16 · ✦ hep-th

Ostrogradski Formalism for Higher-Derivative Scalar Field Theories

F.J. de Urries (U. de Alcala; imaff , CSIC) , J.Julve(imaff This is my paper
classification ✦ hep-th
keywords fieldhigher-derivativecovariantostrogradskirelativisticscalartheoriesanalysis
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We carry out the extension of the Ostrogradski method to relativistic field theories. Higher-derivative Lagrangians reduce to second differential-order with one explicit independent field for each degree of freedom. We consider a higher-derivative relativistic theory of a scalar field and validate a powerful order-reducing covariant procedure by a rigorous phase-space analysis. The physical and ghost fields appear explicitly. Our results strongly support the formal covariant methods used in higher-derivative gravity.

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