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Remarks on some new models of interacting quantum fields with indefinite metric

S. Albeverio, H. Gottschalk, J. -L. Wu

math-pharXiv:math-ph/0501034

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.

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