High-Energy Scattering in Non-Commutative Field Theory

TL;DR

This paper investigates high-energy scattering in non-commutative field theories through dual gravity, revealing that the Froissart-Martin bound persists but exhibits directional stretching due to UV/IR mixing effects.

Contribution

It demonstrates that the Froissart-Martin bound remains valid in non-commutative theories and uncovers directional effects caused by UV/IR mixing in scattering cross-sections.

Findings

Froissart-Martin bound still holds in non-commutative theories

Cross-sections stretch in non-commutative directions

UV/IR mixing influences scattering behavior

Abstract

We analyze high energy scattering for non-commutative field theories using the dual gravity description. We find that the Froissart-Martin bound still holds, but that cross-sections stretch in the non-commutative directions in a way dependent on the infrared cutoff. This puzzling behavior suggests new aspects of UV/IR mixing.