Euclidean solutions of Yang-Mills-dilaton theory

TL;DR

This paper investigates Euclidean classical solutions in Yang-Mills-dilaton theory, revealing multiple solution branches with dyonic characteristics, finite existence regions, and dependence on dilaton normalization.

Contribution

It provides analytical and numerical evidence for infinite solution branches labeled by gauge field nodes, a detailed analysis of their finite parameter space existence, and the impact of dilaton normalization.

Findings

Infinite branches of dyonic solutions exist.

Solution branches are confined to finite parameter regions.

The number of solution nodes correlates with branch labels.

Abstract

Classical solutions of the Yang-Mills-dilaton theory in Euclidean space-time are investigated. Our analytical and numerical results imply existence of infinite number of branches of dyonic type solutions labelled by the number of nodes of gauge field amplitude $W$. We find that the branches of solutions exist in finite region of parameter space and discuss this issue in detail in different dilaton field normalization.