Jost-Lehmann-Dyson Representation, Analyticity in Angle Variable and Upper Bounds in Noncommutative Quantum Field Theory
High Energy Physics - Theory
2011-07-19 v2
Abstract
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.
Cite
@article{arxiv.hep-th/0403033,
title = {Jost-Lehmann-Dyson Representation, Analyticity in Angle Variable and Upper Bounds in Noncommutative Quantum Field Theory},
author = {M. N. Mnatsakanova and Yu. S. Vernov},
journal= {arXiv preprint arXiv:hep-th/0403033},
year = {2011}
}
Comments
LaTeX, 15 pages, improved version, misprints corrected, the references added, to appear in Theor. Math. Phys