Finite Fermion Density Effects on the Electroweak String

TL;DR

This paper investigates how a uniform distribution of cold fermionic matter influences the properties of an Electroweak string, revealing that fermion number non-conservation leads to a long-range magnetic field.

Contribution

It introduces the effect of cold fermionic matter on Electroweak strings, highlighting the emergence of a long-range magnetic field due to fermion number non-conservation.

Findings

Electroweak string induces a long-range magnetic field in the presence of fermionic matter.

Fermion number non-conservation plays a key role in magnetic field generation.

The study provides insights into the interplay between fermionic matter and topological defects.

Abstract

We consider an Electroweak string in the background of a uniform distribution of cold fermionic matter. As a consequence of the fermion number non-conservation in the Weinberg-Salam model, the string produces a long-range magnetic field.