Creation of Magnetic Monopoles in Classical Scattering

We consider the creation of ’t Hooft–Polyakov magnetic monopoles by scattering classical wave packets of gauge fields. An example with eight clearly separated magnetic poles created with parity violating helical initial conditions is shown. No clear separation of topological charge is observed with corresponding parity symmetric initial conditions.

Figure 1

Minimum value of $|\overrightarrow{\varphi }|$ on the lattice as a function of time showing that 0’s of the scalar field are produced after some evolution.

Figure 2

Topological winding at late times on slices with $z=2.9$, 3.7, and 5.7 for simulations on a $128^3$ lattice with $dx=0.1$ and $z=0$ at the center of the lattice. The total topological charges on these slices are $+2$, $-4$, and $+2$, respectively.

Figure 3

Potential energy density distribution at the final time of the simulation on spatial slices with $z=2.9$, 3.7, and 5.7 as in Fig. 2. With $|\overrightarrow{\varphi }|=0$, the potential energy density is 0.25 for our parameters.

Figure 4

Topological winding on the $z=0$ slice for the $\omega =+{\omega }^{\prime }=4$ simulation. The plot does not show a clear separation of positive and negative winding. In the second panel we show the integrated winding per $z$ slice as a function of $z$. Here too we do not see a clear separation of positive and negative charges.