Reduced phase space: quotienting procedure for gauge theories

  title={Reduced phase space: quotienting procedure for gauge theories},
  author={Josep M. Pons and Donald C. Salisbury and Lawrence Charles Shepley},
  journal={Journal of Physics A},
We present a reduction procedure for gauge theories based on quotienting out the kernel of the presymplectic form in configuration-velocity space. Local expressions for a basis of this kernel are obtained using phase-space procedures; the obstructions to the formulation of the dynamics in the reduced phase space are identified and circumvented. We show that this reduction procedure is equivalent to the standard Dirac method as long as the Dirac conjecture holds: that the Dirac Hamiltonian… 
We develop the general theory of Noether symmetries for constrained systems, that is, systems that are described by singular Lagrangians. In our derivation, the Dirac bracket structure with respect
Symplectic Reduction and the Problem of Time in Nonrelativistic Mechanics
  • K. Thébault
  • Physics
    The British Journal for the Philosophy of Science
  • 2012
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