Bounding scattering of charged particles in 1+1 dimensions

TL;DR

This paper derives numerical bounds on scattering processes involving charged particles in 1+1 dimensions, highlighting the saturation by integrable S-matrices and providing a framework for higher-dimensional analysis.

Contribution

It introduces general bounds on charged particle scattering in 1+1D and demonstrates their saturation by known integrable models, offering a blueprint for future higher-dimensional studies.

Findings

Bounds are saturated by particle-absorbing S-matrices.

Numerical bounds on couplings in theories with $O(N)$ and $U(N)$ symmetries.

Framework applicable to higher-dimensional scattering analysis.

Abstract

We obtain general bounds on scattering processes involving charged particles in 1+1 spacetime dimensions. After a general analysis we derive mostly numerical bounds on couplings in theories with $O(N)$ and $U(N)$ global symmetries. The bounds are consistently saturated by $S$-matrices without particle production, and in many cases by known integrable $S$-matrices. Our work provides a blueprint for a similar analysis in higher dimensions.