Unitarity and Asymptotic Behavior of Amplitudes in Non-Anticommutative Quantum Field Theory

Details Unitarity and Asymptotic Behavior of Amplitudes in Non-Anticommutative Quantum Field Theory Unitarity and Asymptotic Behavior of Amplitudes in Non-Anticommutative Quantum Field Theory

2000-11-25

arxiv.org/abs/hep-th/0011229v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages LaTex manuscript. Two figures. Revision of text. Conclusions remain the same

Scientific paper

The unitarity condition for scattering amplitudes in a non-anticommutative quantum field theory is investigated. The Cutkosky rules are shown to hold for Feynman diagrams in Euclidean momentum space and unitarity of amplitudes can be satisfied. An analytic continuation of the diagrams to physical Minkowski spacetime can be performed without invoking unphysical singularities in amplitudes. The high energy behavior of amplitudes is found to be regular at infinity provided that only space-space non-anticommutativity is allowed.

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