Estimates and Borel summability in the magnetic Coulomb problem. Renormalization of subsidiary electric charge View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1988-10

AUTHORS

J. -P. M. Lebrun

ABSTRACT

The problem of two relativistic magnetic charges bound by a Coulomb force leads to consider subsidiary electric-charge density sustained by the semi-classical magnetic current. The asymptotic expansion for the resulting electric displacement field shows rotational invariance with apparent essential singularity on the equatorial plane cos θr=0 and divergence of apparent total charge. The series is shown to possess Borel summability and renormalization ofQe to a finite value follows which is proportional to the residue of the leading asymptotic term. This bringsQe=−3π/8(1/g′)(1+4π2/g′4 due to the Dirac wave function normalization. More... »

PAGES

477-484

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02789494

DOI

http://dx.doi.org/10.1007/bf02789494

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1039341640


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