We propose a new definition for the abelian magnetic charge density of a nonabelian monopole, based on zero-modes of an associated Dirac operator. Unlike the standard definition of the charge density, this density is smooth in the core of the monopole. We show that this charge density induces a magnetic field whose expansion in powers of 1/r agrees with that of the conventional asymptotic magne...

We present a new type of spherically symmetric monopole and dyon solutions with the magnetic charge 4π/e in the standard Weinberg-Salam model. The monopole (and dyon) could be interpreted as a non-trivial hybrid between the abelian Dirac monopole and non-abelian ’t Hooft-Polyakov monopole (with an electric charge). We discuss the possible physical implications of the electroweak dyon. Typeset u...

A continuum of new monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space are found. They are regular everywhere and specified by their mass and their non-Abelian electric and magnetic charges. A class of monopole solutions which have no node in non-Abelian magnetic fields is shown to be stable against spherically symmetric linear perturbations.

In this paper we consider the presence of the Wu-Yang magnetic monopole in the global monopole spacetime and their influence on the vacuum polarization effects around these two monopoles placed together. According to Wu-Yang [Nucl. Phys. B107, 365 (1976)] the solution of the Klein-Gordon equation in such an external field will not be an ordinary function but, instead, section. Because of the pe...

It is built a map between the Topological Quantum Field Theory (TQFT) 3D compact U(1) gauge Maxwell Chern-Simons and the non-relativistic quantum mechanics (semi-classical) Azbel-Hofstadter model of Bloch-electrons. The U q (sl 2) quantum group of magnetic translations in the Azbel-Hofstadter model is interpreted as discretized gauge transformations on the TQFT. The monopole confining and monop...

We suggest that the highest energy > ∼ 10eV cosmic ray primaries may be relativistic magnetic monopoles. Motivations for this hypothesis are that conventional primaries are problematic, while monopoles are naturally accelerated to E ∼ 10eV by galactic magnetic fields. By matching the cosmic monopole production mechanism to the observed highest energy cosmic ray flux we estimate the monopole mas...

It is shown that a photon with a specific frequency can be identified with the Dirac magnetic monopole. When a Dirac-Wilson line forms a Dirac-Wilson loop, it is a photon. This loop model of photon is exactly solvable. From the winding numbers of this loop-form of photon, we derive the quantization properties of energy and electric charge. A new QED theory is presented that is free of ultraviol...

Abstract Despite decades-long efforts, magnetic monopoles were never found as elementary particles. Monopoles and associated currents directly measured in experiments identified topological quasiparticle excitations emergent condensed matter systems. These the related electric-magnetic symmetry restricted to classical electrodynamics, with behaving Here we show that is most fundamental extends ...