Superconducting String Texture

TL;DR

This paper investigates a new type of stable, superconducting string texture in a massive U(1) gauge model, establishing bounds on scalar mass and current, with preliminary attempts at large loop solutions.

Contribution

It introduces a novel stable string texture in a topologically trivial gauge model and provides analytical and numerical analysis of its properties and limitations.

Findings

Established upper bounds on scalar mass and current.

Identified stability conditions for the string texture.

Reported unsuccessful search for large superconducting loops.

Abstract

We present a detailed analytical and numerical study of a novel type of static, superconducting, classically stable string texture in a renormalizable topologically trivial massive U(1) gauge model with one charged and one neutral scalar. An upper bound on the mass of the charged scalar as well as on the current that the string can carry are established. A preliminary unsuccesful search for stable solutions corresponding to large superconducting loops is also reported.