5 problems

Let a solution have $n$ units of magnetic charge and belong to a $(4n-1)$-parameter family of solutions. The parameters describe the moduli of multi-monopole configurations. Weinbe…

Let $a$ and $b$ be real constants, let $x^=(t,x,y,z)$, and set $r^2=x^2+y^2$. On the $(x,y)$ plane, consider the massive Dirac wave function … where $A_\mu$ is the gauge potential…

A wavefunction may have a non-integrable phase, and let the change in its phase be measured around a closed curve. Dirac's conjecture. The change in phase of a wavefunction round a…

The dyon quantum electrodynamics (dQED) model is an alternative formulation of quantum electrodynamics with magnetic monopoles, based on the Cabibbo–Ferrari and Salam approach. Its…

Bolognesi's conjecture. For any magnetic bag $(f,\phi)$, there is a sequence $(A^{(n)},\Phi^{(n)})$ of charge-$n$ solutions such that, as $n\rightarrow\infty$,