New self-dual solutions of SU(2) Yang-Mills theory in Euclidean Schwarzschild space

TL;DR

This paper systematically studies spherically symmetric self-dual SU(2) Yang-Mills solutions in Euclidean Schwarzschild space, recovering known solutions and discovering a new family of instantons with unique properties.

Contribution

It introduces a new one-parameter family of instantons that interpolate between known solutions and exhibit dyonic characteristics.

Findings

Recovered all known solutions

Discovered a new family of instantons

Identified dyons with unit magnetic and electric charge

Abstract

We present a systematic study of spherically symmetric self-dual solutions of SU(2) Yang-Mills theory on Euclidean Schwarzschild space. All the previously known solutions are recovered and a new one-parameter family of instantons is obtained. The newly found solutions have continuous actions and interpolate between the classic Charap and Duff instantons. We examine the physical properties of this family and show that it consists of dyons of unit (magnetic and electric) charge.