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(→Goldstone's Argument: sorry, my bad (this is talking about the Higgs mechanism)) 
(added remark about the Higgs mechanism to avoid possible misunderstandings) 

Letting A become large leads to a contradiction.
This argument fails completely for a gauge theory since the space of states for a gauge theory now has a [[positive semidefinite]] [[norm]] instead of a positive definite one, and it's not possible to construct an orthogonal state using the previous construction. This is of course, the [[Higgs mechanism]].
== Nonrelativistic theories ==

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