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Generalized Haag's Theorem in SO(1,1) and SO(1,3) Invariant Quantum Field Theory

M. Chaichian·M. Mnatsakanova·A. Tureanu·Yu. Vernov
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Abstract

One of the most important results of the axiomatic quantum field theory - generalized Haag's theorem - is proven in SO(1,1) invariant quantum field theory, of which an important example is noncommutative quantum field theory. In SO(1,3) invariant theory new consequences of generalized Haag's theorem are obtained: it has been proved that equality of four-point Wightman functions in two theories leads to the equality of elastic scattering amplitudes and total cross-sections in these theories.

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M. Chaichian, M. Mnatsakanova, A. Tureanu, Yu. Vernov. 2006-12-12. Generalized Haag's Theorem in SO(1,1) and SO(1,3) Invariant Quantum Field Theory. https://arxiv.org/abs/hep-th/0611097

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