We clarify relations among topological solitons in various dimensions: a domain wall, non-Abelian vortex, magnetic monopole and Yang-Mills instanton, together with (non-Abelian) sine-Gordon soliton, baby Skyrmion (lump) Skyrmion. construct composite configuration consisting of instanton (wall-vortex-monopole-instanton) using the effective theory technique or moduli approximation. Removing some ...

Complex monopole solutions exist in the three dimensional Georgi-Glashow model with the Chern-Simons term. They dominate the path integral and disorder the Higgs vacuum. Gribov copies of the vacuum and monopole configurations are studied in detail. 1 Monopole-supercurrent duality In the Georgi-Glashow model, SO(3) gauge theory with a triplet Higgs scalar field h, the gauge sysmetry is spontaneo...

We consider the gauge interactions between non-Abelian magnetic monopoles at strong electric coupling. By drawing an analogy between the gauge freedom of an electric particle at weak electric coupling and that of a monopole at strong electric coupling we motivate that these monopoles interact under a magnetic copy of the residual symmetry group. This differs from the interactions of monopoles a...

We propose a novel type of color magnetic condensation originating from magnetic monopoles so that it provides the mass of off-diagonal gluons in the Yang-Mills theory. This dynamical mass generation enables us to explain the infrared Abelian dominance and monopole dominance by way of a non-Abelian Stokes theorem, which supports the dual superconductivity picture of quark confinement. Moreover,...

We quantize, within the Loop Representation formalism, the electromagnetic field in the presence of a static magnetic pole. It is found that loop-dependent physical wave functionals acquire a topological dependence on the surfaces bounded by the loop. This fact generalizes what occurs in ordinary quantum mechanics in multiply connected spaces. When Dirac’s quantization condition is satisfied, t...

This paper summarizes our recent advances in antenna designs for ultra wideband (UWB) applications. Two types of monopoles are studied and developed in our research group. The first type belongs to the electric monopole with a circular disc fed by three different feeding structures. The second type is the magnetic monopole with an elliptical slot. The performances of these two types of antennas...

Non-Abelian monopoles are present in the fully quantum mechanical low-energy effective action of many solvable supersymmetric theories. They behave perfectly as pointlike particles carrying non-Abelian dual magnetic charges. They play a crucial role in confinement and in dynamical symmetry breaking in these theories. There is a natural identification of these excitations within the semiclassica...

We return to further examination of the need for the existence of magnetic monopoles based on the decades old derivation [Sherman Frankel, Amer. Jour. of Physics, 44 7 683-6 1976], of both the monopole-charge force, ~ F = eg(~r × ~v/c)/r, as well as the Dirac angular momentum , ~lf = egr̂, from P and T conservation alone, without any recourse whatsoever to Maxwell’s Equations. The eg product als...

One of the most remarkable examples of emergent quasi-particles is that of the 'fractionalization' of magnetic dipoles in the low energy configurations of materials known as 'spin ice' into free and unconfined magnetic monopoles interacting via Coulomb's 1/r law (Castelnovo et al 2008 Nature 451 42-5). Recent experiments have shown that a Coulomb gas of magnetic charges really does exist at low...

Intrinsically stable or ‘fundamental’ solitons may be decorated with conserved charges which are pieces of those carried by elementary particles in the same medium. These ‘hairs’ are always significant in principle, and in the strong-coupling regime (where solitons and particles exchange roles) may become major factors in dynamics. ∗To appear in Proceedings of the CRM-FIELDS-CAP Workshop “Solit...