Quantization of Bogomol'nyi soliton dynamics

Details Quantization of Bogomol'nyi soliton dynamics Quantization of Bogomol'nyi soliton dynamics

1993-07-21

arxiv.org/abs/hep-th/9307133v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Plain TeX, 2 figures (not included), CON-93-1

Scientific paper

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(\theta), 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, \pi/3<\theta<\pi/2 and \pi/2<\theta<2\pi/3.

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