We review a class of non-topological defects in the standard electroweak model, and their
implications. Starting with the semilocal string, which provides a counterexample to many …

We review explicitly known exact D= 4 solutions with Minkowski signature in closed bosonic
string theory. Classical string solutions with spacetime interpretation are represented by …

A bstract We discuss aspects of magnetically charged black holes in the Standard Model.
For a range of charges, we argue that the electroweak symmetry is restored in the near …

Using an extended Nambu–Jona-Lasinio model as a low-energy effective model of QCD,
we show that the vacuum in a strong external magnetic field (stronger than 10 16 T) …

Motivated by the study of multivortices in the Electroweak Theory of Glashow–Salam–
Weinberg 33, we obtain a concentration-compactness principle for the following class of …

We consider the following mean field equation: where M is a compact Riemann surface with
volume 1, h* is a positive C1 function on M, and ρ and αj are constants satisfying αj>− 1. In …

A bstract Magnetically charged black holes (MBHs) are interesting solutions of the Standard
Model and general relativity. They may possess a “hairy” electroweak-symmetric corona …

We discuss a cornucopia of potential astrophysical signatures and constraints on
magnetically charged black holes of various masses. As recently highlighted, being …

In this paper, we study the Mean field equation and the relativistic Abelian Chern-Simons
equations (involving two Higgs particles and any two gauge fields) on the finite connected …

Symmetry behavior and phase transitions in a strong electromagnetic field are investigated
by using the one-loop effective potential. The one-loop effective potential in a uniform …