TL;DR
This paper investigates fermion scattering in a global monopole background, deriving exact scattering amplitudes and analyzing massless fermion-dyon systems, revealing constant condensate densities related to flat space results.
Contribution
It provides an exact calculation of fermion scattering amplitudes in a global monopole background and explores properties of fermion-dyon systems in this context.
Findings
Exact scattering amplitude obtained for fermions in monopole background
Density of fermion condensate is proportional to flat space value
Analysis of massless fermion-dyon systems in curved spacetime
Abstract
We study the scattering of fermions in a ``global monopole'' background metric. This is the four-dimensional analogue of the scattering on a cone in three dimensions. The scattering amplitude is exactly obtained. We then study massless fermion-dyon systems in such a background metric. The density of the -wave fermion condensate is found to be given by a constant times the flat space value of Callan and Rubakov.
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