Lagrangian approach to a symplectic formalism for singular systems

Details Lagrangian approach to a symplectic formalism for singular systems Lagrangian approach to a symplectic formalism for singular systems

1998-05-05

arxiv.org/abs/hep-th/9805024v1

Phys.Rev. D58 (1998) 125018

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1103/PhysRevD.58.125018

We develop a Lagrangian approach for constructing a symplectic structure for singular systems. It gives a simple and unified framework for understanding the origin of the pathologies that appear in the Dirac-Bergmann formalism, and offers a more general approach for a symplectic formalism, even when there is no Hamiltonian in a canonical sense. We can thus overcome the usual limitations of the canonical quantization, and perform an algebraically consistent quantization for a more general set of Lagrangian systems.

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