Involution and Constrained Dynamics I: The Dirac Approach
classification
✦ hep-th
keywords
diracapproachequationsinvolutionsystemstheoryalgorithmanalysis
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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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Cited by 1 Pith paper
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A new algorithm counts degrees of freedom in open EFTs from equations of motion using dual advanced equations for non-Lagrangian systems with constraints and gauges.
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