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We construct for the linearized Higgs model a representation of the field operators in a Hilbert space ℋ with the following features: ℋ has a positive definite metric but is nonseparable. The vacuum is gauge invariant. The gauge variant operators exist only in their exponentiated form as unitaries. There is a subspace of ℋ where [Formula: see text] is represented by 0.
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Thirring et al. (1992) studied this question.
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