Varational Equations and Symmetries in the Lagrangian Formalism

Details Varational Equations and Symmetries in the Lagrangian Formalism Varational Equations and Symmetries in the Lagrangian Formalism

1994-11-18

arxiv.org/abs/hep-th/9411141v1

J.Phys. A28 (1995) 2921-2938

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LATEX

Scientific paper

10.1088/0305-4470/28/10/020

Symmetries in the Lagrangian formalism of arbitrary order are analysed with the help of the so-called Anderson-Duchamp-Krupka equations. For the case of second order equations and a scalar field we establish a polynomial structure in the second order derivatives. This structure can be used to make more precise the form of a general symmetry. As an illustration we analyse the case of Lagrangian equations with Poincar\'e invariance or with universal invariance.

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