Jost-Lehmann-Dyson Representation, Analyticity in Angle Variable and Upper Bounds in Noncommutative Quantum Field Theory

Details Jost-Lehmann-Dyson Representation, Analyticity in Angle Variable and Upper Bounds in Noncommutative Quantum Field Theory Jost-Lehmann-Dyson Representation, Analyticity in Angle Variable and Upper Bounds in Noncommutative Quantum Field Theory

2004-03-02

arxiv.org/abs/hep-th/0403033v2

Theor.Math.Phys.142:324-336,2005; Teor.Mat.Fiz.142:388-402,2005

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 15 pages, improved version, misprints corrected, the references added, to appear in Theor. Math. Phys

Scientific paper

10.1007/s11232-005-0015-z

The existence of Jost-Lehmann-Dyson representation analogue has been proved in framework of space-space noncommutative quantum field theory. On the basis of this representation it has been found that some class of elastic amplitudes admits an analytical continuation into complex \cos\vartheta plane and corresponding domain of analyticity is Martin ellipse. This analyticity combined with unitarity leads to Froissart-Martin upper bound on total cross section.

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