Complex velocity transformations and the Bisognano--Wichmann theorem for quantum fields acting on Krein spaces

Details Complex velocity transformations and the Bisognano--Wichmann theorem for quantum fields acting on Krein spaces Complex velocity transformations and the Bisognano--Wichmann theorem for quantum fields acting on Krein spaces

2004-08-25

arxiv.org/abs/math-ph/0408048v1

J.Math.Phys.43:4753-4769,2002

Physics

Mathematical Physics

Scientific paper

10.1063/1.1503151

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 x^0-x^1 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 -- Moschella, 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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