ANALYTICITY OF CHARGE-MONOPOLE SCATTERING-AMPLITUDE

Abstract

We study the analyticity in cost of the exact quantum-mechanical electric-charge-magnetic-monopole scattering amplitude by ascribing meaning to its formally divergent partial-wave expansion as the boundary value of an analytic function. This permits us to find an integral representation for the amplitude which displays its analytic structure. On the physical sheet we find only a branch-point singularity in the forward direction, while on each of the infinitely many unphysical sheets we find a logarithmic branch-point singularity in the backward direction as well as the same forward structure. © 1978 The American Physical Society.

Description
Keywords
Astronomy & Astrophysics, Physics, Particles & Fields, Physics
Citation
Balachandran, et al. (1978): Analyticity of the Charge-Monopole Scattering Amplitude. Physical Review D, 17(4). DOI: https://doi.org/10.1103/PhysRevD.17.1150