New Global Defect Structures

TL;DR

This paper explores stable global defect structures in scalar field systems across arbitrary dimensions, providing methods to derive solutions via first-order equations and illustrating with explicit models.

Contribution

It introduces a framework for constructing stable global defects in any dimension and simplifies solving these models through reduction to one-dimensional problems.

Findings

Stable global defect solutions exist in arbitrary dimensions.

First-order differential equations can be derived for these models.

Explicit solutions are obtained for specific scalar field potentials.

Abstract

We investigate the presence of defects in systems described by real scalar field in (D,1) spacetime dimensions. We show that when the potential assumes specific form, there are models which support stable global defects for D arbitrary. We also show how to find first-order differential equations that solve the equations of motion, and how to solve models in D dimensions via soluble problems in D=1. We illustrate the procedure examining specific models and finding explicit solutions.