Tree Unitarity and Partial Wave Expansion in Noncommutative Quantum Field Theory

Abstract

The validity of the tree-unitarity criterion for scattering amplitudes on the noncommutative space-time is considered, as a condition that can be used to shed light on the problem of unitarity violation in noncommutative quantum field theories when time is noncommutative. The unitarity constraints on the partial wave amplitudes in the noncommutative space-time are also derived.

15 pages, 1 figure

References in corpus (3)

• On the unitarity problem in space/time noncommutative theories
• Time-ordered Perturbation Theory on Noncommutative Spacetime: Basic Rules
• Time-ordered Perturbation Theory on Noncommutative Spacetime II: Unitarity

Cited by in corpus (5)

• Noncommutativity in Maxwell-Chern-Simons-Matter Theory Simulates Pauli Magnetic Coupling
• Analyticity and Forward Dispersion Relations in Noncommutative Quantum Field Theory
• Analyticity of the Scattering Amplitude, Causality and High-Energy Bounds in Quantum Field Theory on Noncommutative Space-Time
• (2+1)D Noncommutative CP${}^{N-1}$ Model
• Scattering in Noncommutative Quantum Mechanics