Quantization of Bogomol'nyi soliton dynamics

Abstract

We approximate analytically the semi-classical differential cross-section for low-energy solitonic BPS SU(2) magnetic monopoles using the geodesic approximation. The semi-classical scattering amplitude, f(θ), can be expressed as a conditionally convergent infinite series which is made absolutely convergent by analytic continuation of the generalised zeta function. Our results suggest that the classical solitonic cross-section (computed numerically in hep-th:9209063) and the semi-classical cross-section are in good agreement over a wide range of scattering angles, π/3<θ<π/2 and π/2<θ<2π/3.