Consider scalar field $\phi(x)$, when we quantize this scalar field we get an expression in terms of creation and annihilation operators as $\phi(x) = \sum c(p)({ae^{ipx} + a^\dagger e^{-ipx}} )$. If I have a field with $a(k) \to e^{i\theta}a(k)$ . How do I find representations of the changed field ?

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    $\begingroup$ Do you have a concrete example where this question came up? Because I don't quite understand what you mean... $\endgroup$ – MannyC Mar 8 at 6:23
  • $\begingroup$ The only thing I can really say is the number operator N is invariant. It would be nice to have a Lagrangian. $\endgroup$ – Cinaed Simson Mar 10 at 1:03

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