Topological Zero-Thickness Cosmic Strings

TL;DR

This paper investigates the topological structures of zero-thickness cosmic strings within Abelian-Higgs gauge theory, proposing a topological tensor current as a fundamental tool over traditional Nambu-Goto actions.

Contribution

It introduces a topological tensor current framework for cosmic strings, offering a more fundamental approach than the conventional Nambu-Goto effective action.

Findings

Topological tensor current effectively describes cosmic string properties.

Zero-thickness limit simplifies the topological analysis.

Proposes a new foundational perspective for cosmic string studies.

Abstract

In this paper, based on the gauge potential decomposition and the $\phi-$mapping theories, we study the topological structures and properties of the cosmic strings that arise in the Abelian-Higgs gauge theory in the zero-thickness limit. After a detailed discussion, we conclude that the topological tensor current introduced in our model is a better and more basic starting point than the generally used Nambu-Goto effective action for studying cosmic strings.