On singular Lagrangians affine in velocities
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Abstract
The properties of Lagrangians affine in velocities are analyzed in a geometric way. These systems are necessarily singular and exhibit, in general, gauge invariance. The analysis of constraint functions and gauge symmetry leads us to a complete classification of such Lagrangians.
Keywords
Cite
@article{arxiv.math-ph/0302052,
title = {On singular Lagrangians affine in velocities},
author = {José F. Cariñena and José Fernández-Núñez and Manuel F. Rañada},
journal= {arXiv preprint arXiv:math-ph/0302052},
year = {2008}
}
Comments
AMSTeX, 22 pages