Ostrogradski Formalism for Higher-Derivative Scalar Field Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages

Scientific paper

10.1088/0305-4470/31/33/006

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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