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Apr 13, 2017 at 12:39 history edited CommunityBot
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Apr 18, 2013 at 8:13 comment added Tomáš Brauner This is again very instructive, thanks! So to summarize this example, the free Schrödinger field theory has a global ISO(2) symmetry (phase rotations plus two translations in the plane of complex $\psi$). Any of the three one-parametric Abelian subgroups can be gauged, but this breaks the remaining global symmetry. Two whole ISO(2) group, or even the normal subgroup of translations, cannot be gauged. It's good to see this so explicitly.
Apr 17, 2013 at 22:57 history edited Qmechanic CC BY-SA 3.0
Corrected example 2 and eq. (10).
Apr 17, 2013 at 22:52 history edited Qmechanic CC BY-SA 3.0
Corrected example 2 and eq. (10).
Apr 17, 2013 at 16:22 comment added Qmechanic I updated the answer.
Apr 17, 2013 at 16:06 history edited Qmechanic CC BY-SA 3.0
added OP's example
Apr 17, 2013 at 9:04 comment added Tomáš Brauner Thanks a lot, this is very helpful! I still have to check how (and whether) this works in the non-Abelian case, but I have already learned quite something from you :)
Apr 16, 2013 at 23:41 history answered Qmechanic CC BY-SA 3.0