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Remarks on some new models of interacting quantum fields with indefinite metric
Authors:S Albeverio  H Gottschalk  J-L Wu
Institution:1Fakultät und Institut für Mathematik der Ruhr-Universität Bochum,D-44780 Bochum, Germany;2SFB237 Essen-Bochum-Düsseldorf, Germany;3aBiBoS Research Centre, Bielefeld-Bochum, Germany;3bCERFIM, Locarno, Switzerland;4Institute of Applied Mathematics, Academia Sinica, Beijing 100080, P. R. China
Abstract:We study quantum field models in indefinite metric. We introduce the modified Wightman axioms of Morchio and Strocchi as a general framework of indefinite metric quantum field theory (QFT) and present concrete interacting relativistic models obtained by analytical continuation from some stochastic processes with Euclidean invariance. As a first step towards scattering theory in indefinite metric QFT, we give a proof of the spectral condition on the translation group for the relativistic models.
Keywords:
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