Abstract

It is proven that in indefinite metric quantum field theory there exists a dense set of analytic vectors for the generator of the one parameter group of x0–x1 velocity transformations. This makes it possible to define complex velocity transformations also for the indefinite metric case. In combination with the results of Bros, Epstein, and Moschella [Commun. Math. Phys. 196, 535–570 (1998)], proving Bisognano–Wichmann (BW) analyticity within the linear program, one then obtains a suitable generalization of the BW theorem for local, relativistic quantum fields acting on Krein spaces (“quantum fields with indefinite metric”).

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