Rosy Teh

Periodic solutions of the Yang—Mills field equations

Abstract Exact periodic solutions of the classical SU(2) Yang—Mills equations in Minkowski space-time are constructed. These solutions can be interpreted, respectively, as non-abelian plane waves and spherical waves. The corresponding non-self-dual static solutions are also exhibited, some of which possess vanishing energy-momentum density.

Low energy static Yang-Mills configurations

Abstract Non-singular static solutions for the SU(2) Yang-Mills field equations in the presence of external sources are presented. These solutions possess energies less than those of the magnetic dipole solutions, and can in fact have vanishingly small energies.

Nonabelian progressive waves

We present two families of nonabelian wave solutions of the Yang–Mills field equations, some of the previous known solutions occur as special cases of our solutions.

Linearly superposable and finite‐action classical Yang–Mills fields

We show that in the Minkowski space, a self‐dual gauge field can be linearly superposed with either another self‐dual gauge field or a non‐self‐dual gauge field to give a new solution of the Yang–Mills equation. From these new solutions, Euclidean solutions are constructed. Some of these new solutions are valid in any dimensions of space–time.

Multi-branch structure for electrically charged four-pole axially symmetric system of solutions

Dyon solutions with axial symmetry in Yang–Mills–Higgs theory, including monopole–antimonopole pairs (MAP), monopole–antimonopole chains (MAC) and vortex-rings are introduced previously. The previously studied cases include at most a bifurcation for MAP systems and two for MAC dyon solutions. Here, for the case of ϕ-winding number n = 4, a rich set of solutions including nine branches and four bifurcations, has been obtained for electrically charged four-pole MAC solutions. Also, the transition between two different charge configurations at a lower energy bifurcating branch is detected for the first time. This study also improves and completes some aspects of a previous study on the electrically neutral case. In the case of n = 3, in addition to previously found bifurcation, another bifurcation at small values of Higgs self-coupling constant λ, has been obtained here.

Solutions of the classical SU(2) Yang–Mills theory in (2+1) dimensions with the Chern–Simons term: Ansatz building

A general way of writing the gauge potentials Aaμ for which the SU(2) Yang–Mills equations of motion can be simplified and become solvable is shown. A number of exact solutions can be obtained from these simplified equations of motion.