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hep-th2013
Haag's Theorem in the Theories with Non-physical Particles
K. V. Antipin, M. N. Mnatsakanova, Yu. S. Vernov
Haag's theorem is extended to the case of regular representations of the canonical commutation relations in a non-degenerate indefinite inner product space.
math-ph2013
Extension of von Neumann's uniqueness theorem to the theories with non-physical particles
K. V. Antipin, M. N. Mnatsakanova, Yu. S. Vernov
Von Neumann's uniqueness theorem is extended to a special class of canonical commutation relations, namely the anti-Fock representations, which are realized on a Krein space.