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What is the difference between canonical transformations and gauge transformations?

  1. Dec 29, 2011 #1
    I have some ideas of canonical transformation is, but the ideas behind gauge transformation is still eluding me.
     
  2. jcsd
  3. Dec 30, 2011 #2
    Re: What is the difference between canonical transformations and gauge transformation

    In short, a canonical transformation is a transformation of the phase space coordinates which maps Hamiltonian flows onto Hamiltonian flows and a gauge transformation defines equivalence classes on field potential functions which leaves "physical fields" invariant.
     
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