A Tale of two derivatives: Phase space symmetries and Noether charges in diffeomorphism invariant theories

@article{Dolan2018ATO,
  title={A Tale of two derivatives: Phase space symmetries and Noether charges in diffeomorphism invariant theories},
  author={B. Dolan},
  journal={Physical Review D},
  year={2018},
  volume={98}
}
  • B. Dolan
  • Published 2018
  • Physics
  • Physical Review D
For a field theory that is invariant under diffeomorphisms there is a subtle interplay between symmetries, conservation laws and the phase space of the theory. The natural language for describing these ideas is that of differential forms, and both differential forms on space-time and differential forms on the infinite dimensional space of solutions of the equations of motion of the field theory play an important role. There are exterior derivatives on both spaces, and together they weave a… Expand
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