Analyticity of the Scattering Amplitude, Causality and High-Energy Bounds in Quantum Field Theory on Noncommutative Space-Time

Abstract

In the framework of quantum field theory (QFT) on noncommutative (NC) space-time with the symmetry group $O(1,1)\times SO(2)$, we prove that the Jost-Lehmann-Dyson representation, based on the causality condition taken in connection with this symmetry, leads to the mere impossibility of drawing any conclusion on the analyticity of the $2\to 2$-scattering amplitude in $\cos \Theta$, $\Theta$ being the scattering angle. Discussions on the possible ways of obtaining high-energy bounds analogous to the Froissart-Martin bound on the total cross-section are also presented.

arXiv comment25 pages

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Cited by in corpus (7)

• Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory
• Noncommutative Quantum Field Theory: A Confrontation of Symmetries
• On general properties of Lorentz invariant formulation of noncommutative quantum field theory
• Analyticity Properties and Asymptotic Behavior of Scattering Amplitude in Higher Dimensional Theories
• On Finite Noncommutativity in Quantum Field Theory
• Noncommutative Cubic Scalar Field Theory and Tree Level Processes
• Quantum Space-Time and Noncommutative Gauge Field Theories