Non-existence of non-topological solitons in some types of gauge field theories in Minkowski space

TL;DR

This paper establishes conditions where non-topological solitons cannot exist in certain gauge field theories in Minkowski space, simplifying the understanding of soliton absence in these models.

Contribution

It provides a straightforward method to determine the non-existence of non-topological solitons in specific gauge theories involving scalar and vector fields.

Findings

Non-topological solitons are absent in Yang-Mills theory with scalar fields.

Non-topological solitons are absent in theories with massive complex vector fields coupled to electromagnetism.

The paper offers a simple approach to establish soliton non-existence in these models.

Abstract

In this paper the conditions, under which non-topological solitons are absent in the Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained in a very simple way. It is also shown that non-topological solitons are absent in the theory describing the massive complex vector field coupled to the electromagnetic field in Minkowski space.