Some Aspects of Scattering in (Non) Commutative Gauge Theories

TL;DR

This paper compares scattering processes in standard and non-commutative QED, revealing that classical shock wave models fail in NCQED and that logarithmic divergences appear at higher orders, unlike in QED.

Contribution

It demonstrates the breakdown of the shock wave approximation and the emergence of uncanceled logarithms in non-commutative QED, highlighting fundamental differences from standard QED.

Findings

Shock wave picture fails in NCQED

Uncanceled logarithms appear in NCQED at higher orders

No leading logarithmic contributions in QED up to sixth order

Abstract

We study almost-forward scattering in the context of usual and non-commutative QED. We study the semi-classical behaviour of particles undergoing this scattering process in the two theories, and show that the shock wave picture, effective in QED fails for NCQED. Further, we show that whereas in QED, there are no leading logarithmic contributions to the amplitude upto sixth order, uncancelled logarithms appear in NCQED.