How to Choose a Gauge? The Case of Hamiltonian Electromagnetism

@article{Gomes2021HowTC,
  title={How to Choose a Gauge? The Case of Hamiltonian Electromagnetism},
  author={Henrique Gomes and Jeremy Butterfield},
  journal={Erkenntnis},
  year={2021}
}
We develop some ideas about gauge symmetry in the context of Maxwell’s theory of electromagnetism in the Hamiltonian formalism. One great benefit of this formalism is that it pairs momentum and configurational degrees of freedom, so that a decomposition of one side into subsets can be translated into a decomposition of the other. In the case of electromagnetism, this enables us to pair degrees of freedom of the electric field with degrees of freedom of the vector potential. Another benefit is… 

Same-diff? Conceptual similarities between gauge transformations and diffeomorphisms. Part I: Symmetries and isomorphisms

The following questions are germane to our understanding of gauge-(in)variant quantities and physical possibility: how are gauge transformations and spacetime diffeomorphisms understood as symmetries,

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