Reduced phase space: quotienting procedure for gauge theories

@article{Pons1999ReducedPS,
  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},
  year={1999},
  volume={32},
  pages={419-430}
}
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… 
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