Uniform-in-mass global existence for 4D Dirac-Klein-Gordon equations

TL;DR

This paper proves the global existence of solutions for the 4D Dirac-Klein-Gordon equations uniformly across a range of mass parameters, advancing understanding of their long-term behavior in particle physics models.

Contribution

It establishes uniform-in-mass global existence results for the 4D Dirac-Klein-Gordon equations, a significant extension of previous work on specific mass cases.

Findings

Global solutions exist uniformly for mass parameters in [0,1]

Solutions exhibit stable long-time behavior

Results apply to a fundamental particle physics model

Abstract

We are interested in four-dimensional Dirac-Klein-Gordon equations, a fundamental model in particle physics. The main goal of this paper is to establish global existence of solutions to the coupled system and to explore their long-time behavior. The results are valid uniformly for mass parameters varying in the interval $[0,1]$.