Gauge transformations for higher-order lagrangians

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, LaTeX

Scientific paper

10.1088/0305-4470/28/24/016

Noether's symmetry transformations for higher-order lagrangians are studied. A characterization of these transformations is presented, which is useful to find gauge transformations for higher-order singular lagrangians. The case of second-order lagrangians is studied in detail. Some examples that illustrate our results are given; in particular, for the lagrangian of a relativistic particle with curvature, lagrangian gauge transformations are obtained, though there are no hamiltonian gauge generators for them.

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