C. H. Oh

The propagator in the generalized Aharonov–Bohm effect

The nonrelativistic propagator is derived by formulating the generalized Aharonov–Bohm effect, valid for any gauge group in a general multiply connected manifold, as a gauge artifact in the universal covering space. The loop phase factors and the free homotopy propagators arise naturally. An explicit expression for the propagator when there are two solenoids present is given.

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.

On the consistency condition of the Kaluza-Klein ansatz

The authors show how the consistency problem of the Kaluza-Klein ansatz can be resolved when the extra dimension space is identified as a coset space.

Bifurcation and the magnetic multipole solutions of the Yang–Mills equations with sources

It is shown that any Sikivie–Weiss‐type magnetic multipole solution possesses a bifurcation point and it has the corresponding abelian Coulomb solution as its partner branch, which is unstable. The magnetic multipole solution is the stable branch.

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.

Analytic solutions of the SU(3) Yang–Mills field equations with external sources

For external sources specified in the radial gauge frame, it is demonstrated how the SU(3) Yang–Mills field configuration can be constructed from the SU(2) solutions. This is explicitly illustrated for the type‐II solutions that exhibit the bifurcation phenomenon.