Involution and Constrained Dynamics I: The Dirac Approach
High Energy Physics - Theory
2009-10-28 v1
Abstract
We study the theory of systems with constraints from the point of view of the formal theory of partial differential equations. For finite-dimensional systems we show that the Dirac algorithm completes the equations of motion to an involutive system. We discuss the implications of this identification for field theories and argue that the involution analysis is more general and flexible than the Dirac approach. We also derive intrinsic expressions for the number of degrees of freedom.
Keywords
Cite
@article{arxiv.hep-th/9506017,
title = {Involution and Constrained Dynamics I: The Dirac Approach},
author = {Werner M. Seiler and Robin W. Tucker},
journal= {arXiv preprint arXiv:hep-th/9506017},
year = {2009}
}
Comments
28 pages, latex, no figures