We study properties of instanton and monopole in an external chromomagnetic field. Generally, the ’t Hooft ansatz is no longer a solution of the Yang-Mills field equation in the presence of external fields. Therefore, we investigate a stabilized instanton solution with minimal total Yang-Mills action in a nontrivial topological sector. With this aim, we consider numerical minimization of the ac...

In most Yang-Mills models the vacuum where magnetic monopoles condense coincides with that where center vortices percolate, thus it is not clear which of these two properties is most directly involved in producing confinement. It is pointed out that there is a class of 3D gauge models, which can be though of as duals of Q-state Potts models with Q < 1, where the magnetic monopole condensation i...

Magnetic fields in five-dimensional Kaluza-Klein theory compactified on a circle correspond to “twisted” identifications of five dimensional Minkowski space. We show that a five dimensional generalisation of the Kerr solution can be analytically continued to construct an instanton that gives rise to two possible decay modes of a magnetic field. One decay mode is the generalisation of the “bubbl...

The infra-red properties of three-dimensional abelian lattice gauge theory are known to be governed by a neutral plasma of magnetic monopole excitations. We address the fate of these monopoles in the presence of light dynamical fermions, using a lattice formulation of compact QED3 with Nf = 4 fermion flavors supplemented by a four-fermi contact term permitting numerical Monte Carlo simulations ...

Dirac showed that the existence of one magnetic pole in the universe could offer an explanation of the discrete nature of the electric charge. Magnetic poles appear naturally in most grand unified theories. Their discovery would be of greatest importance for particle physics and cosmology. The intense experimental search carried thus far has not met with success. I proposed a universe with magn...

Dynamical (super)symmetries of monopoles and vortices (1) Abstract. The dynamical (super)symmetries for various monopole systems are reviewed. For a Dirac monopole, no smooth Runge-Lenz vector can exist; there is, however, a spectrum-generating conformal o(2, 1) dynamical symmetry that extends into osp(1/1) or osp(1/2) for spin 1/2 particles. Self-dual 't Hooft-Polyakov-type monopoles admit an ...

We show that a certain type of color magnetic condensation originating from magnetic monopole configurations is sufficient to provide the mass for off-diagonal gluons in the SU(2) Yang-Mills theory under the Cho–Faddeev– Niemi decomposition. In fact, such magnetic condensation is shown to occur by calculating the effective potential within the BRST quantization. This enables us to explain the i...

Magnetic fields in five-dimensional Kaluza-Klein theory compactified on a circle correspond to “twisted” identifications of five dimensional Minkowski space. We show that a five dimensional generalisation of the Kerr solution can be analytically continued to construct an instanton that gives rise to two possible decay modes of a magnetic field. One decay mode is the generalisation of the “bubbl...

The interaction of a nontrivial topological field configuration with the external fields is considered. The approach is based on the calculation of the zero modes excitation probability. We consider the interaction of the t’Hooft-Polyakov monopole with an external weak uniform magnetic field and the field of another monopole. The t’Hooft-Polyakov non-Abelian monopole [1] are well-known static s...

We extend our previous study of magnetic monopole currents in the maximally Abelian gauge [1] to larger lattices at small lattice spacings (204 at β = 2.5 and 324 at β = 2.5115). We confirm that at these weak couplings there continues to be one monopole cluster that is very much longer than the rest and that the string tension, K, is entirely due to it. The remaining clusters are compact object...