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Why the vacuum charge of a fermion-monopole system vanishes discontinuously as fermion mass vanishes

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
132
Issue
5
Identifiers
DOI: 10.1016/0375-9601(88)90553-1

Abstract

Abstract Using nonrelativistic scattering theory we attribute the vacuum charge induced by a fermion on a monopole to the branch cut introduced by the kinematic factor ( k 2+m 2) −1 2 in the momentum representation of the charge density. The absence of this cut in the zero mass case leads to the discontinuity in the charge.

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