On-shell symmetries
Mathematical Physics
2015-06-26 v1 High Energy Physics - Theory
math.MP
Abstract
We define on-shell symmetries and characterize them for Lagrangian systems. The terms appearing in the variation of the Poincare'-Cartan form, which vanish because of field equations, are found to be strongly constrained if the space of solutions has to be preserved. The behaviour with respect to solution dragging is also investigated in order to discuss relations with the theory of internal symmetries of a PDE.
Cite
@article{arxiv.math-ph/0310037,
title = {On-shell symmetries},
author = {L. Fatibene and M. Ferraris and M. Francaviglia},
journal= {arXiv preprint arXiv:math-ph/0310037},
year = {2015}
}
Comments
13 pages