Collapse of an Instanton

TL;DR

This paper constructs and analyzes a family of collapsing solutions to the 4+1 Yang-Mills equations, providing insights into their stability and collapse dynamics through both theoretical derivation and numerical simulations.

Contribution

It introduces a new two-parameter family of collapsing solutions to 4+1 Yang-Mills equations and demonstrates their stability.

Findings

The solutions exhibit collapse behavior.

Numerical simulations support stability.

Derived dynamical law of collapse.

Abstract

We construct a two parameter family of collapsing solutions to the 4+1 Yang-Mills equations and derive the dynamical law of the collapse. Our arguments indicate that this family of solutions is stable. The latter fact is also supported by numerical simulations.