Abstract
The indefinite-metric quantum field theory of the two-dimensional free massless scalar field proposed previously is reinvestigated. In order to reply to various criticisms of it, subtle points are discused in detail, and it is shown that the formalism is free from contradictions. In particular, its is emphasized that the non-uniqueness of the translationally invariant states is consistent with the irreducibility of the field algebra in the theory with indefinite metric.
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Nakanishi, N. Free massless scalar field in two-dimensional space-time: Revisited. Z. Phys. C - Particles and Fields 4, 17–25 (1980). https://doi.org/10.1007/BF01477303
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DOI: https://doi.org/10.1007/BF01477303