  We canonically quantize multi-component scalar field theories in the presence
of solitons. This extends results of Tomboulis to general soliton moduli
spaces. We derive the quantum Hamiltonian, discuss reparameterization
invariance and explicitly show how, in the semiclassical approximation, the
dynamics of the full theory reduce to quantum mechanics on the soliton moduli
space. We emphasize the difference between the semiclassical approximation and
a truncation of the dynamical variables to moduli. Both procedures produce
quantum mechanics on moduli space, but the two Hamiltonians are generically
different.

High Energy Physics - Theory