Varational Equations and Symmetries in the Lagrangian Formalism
High Energy Physics - Theory
2009-10-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9411141,
title = {Varational Equations and Symmetries in the Lagrangian Formalism},
author = {D. R. Grigore},
journal= {arXiv preprint arXiv:hep-th/9411141},
year = {2009}
}
Comments
21 pages, LATEX