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

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

2006-11-08

arxiv.org/abs/hep-th/0611097v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Talk given at the 14th International Seminar on High Energy Physics QUARKS'2006, Repino, St.Petersburg, Russia, May

Scientific paper

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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