Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-30
J.Phys.A34:8919-8940,2001
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, Plain TeX
Scientific paper
10.1088/0305-4470/34/42/314
As an alternative to the covariant Ostrogradski method, we show that higher-derivative relativistic Lagrangian field theories can be reduced to second differential-order by writing them directly as covariant two-derivative theories involving Lagrange multipliers and new fields. Despite the intrinsic non-covariance of the Dirac's procedure used to deal with the constraints, the explicit Lorentz invariance is recovered at the end. We develop this new setting on the grounds of a simple scalar model and then its applications to generalized electrodynamics and higher-derivative gravity are worked out. For a wide class of field theories this method is better suited than Ostrogradski's for a generalization to 2n-derivative theories
de Urries F. J.
Julve J.
Villaseñor Eduardo J. S.
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