Involution and Constrained Dynamics I: The Dirac Approach

Details Involution and Constrained Dynamics I: The Dirac Approach Involution and Constrained Dynamics I: The Dirac Approach

1995-06-02

arxiv.org/abs/hep-th/9506017v1

J.Phys. A28 (1995) 4431-4452

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, latex, no figures

Scientific paper

10.1088/0305-4470/28/15/022

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.

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