Tree Unitarity and Partial Wave Expansion in Noncommutative Quantum Field Theory

TL;DR

This paper investigates the application of tree unitarity and partial wave expansion to noncommutative quantum field theories, aiming to understand unitarity violations when time is noncommutative.

Contribution

It introduces unitarity constraints on partial wave amplitudes in noncommutative space-time, providing new criteria for assessing unitarity in such theories.

Findings

Derived unitarity constraints on partial wave amplitudes.

Analyzed the validity of tree-unitarity in noncommutative space-time.

Explored implications for unitarity violation when time is noncommutative.

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.