Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two dimensions

TL;DR

This paper establishes the global existence and scattering behavior of solutions to the massive Dirac-Klein-Gordon system in two dimensions for small, low-regularity initial data, under a non-resonance mass condition.

Contribution

It proves the first global well-posedness and scattering results for this system in 2D with low regularity data, under a specific non-resonance condition.

Findings

Global well-posedness for small, low-regularity data

Scattering results demonstrating long-term behavior

Non-resonance condition on masses is crucial

Abstract

We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small and low regularity initial data in dimension two. To achieve this, we impose a non-resonance condition on the masses.