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Various aspects of divergent electromagnetic masses: analyticity, scaling, and light-cone

Journal Article · · Can. J. Phys., v. 51, no. 8, pp. 795-803
DOI:https://doi.org/10.1139/p73-108· OSTI ID:4369707
Various features associated with the divergent electromagnetic self-mass of a particle are elucidated. Bjorken's original analysis is implemented with a simple convergence theorem which serves as a basis on which various models are discussed regarding their implications on the divergence problem as well as on the scaling property. A simple model of the currert commutator function is proposed, on the basis of which it is argued that the quark-model light-cone commutator gives a wrong sign to the divergent selfmass due to its lack of the current conservation. It is also shown that it is the next-to-leading singularities on the light-cone of the commutator that bring forth a (logarithmically) divergent mass shift. (auth)
Research Organization:
Dalhousie Univ., Halifax, N. S.
NSA Number:
NSA-29-013884
OSTI ID:
4369707
Journal Information:
Can. J. Phys., v. 51, no. 8, pp. 795-803, Journal Name: Can. J. Phys., v. 51, no. 8, pp. 795-803; ISSN CJPHA
Country of Publication:
Canada
Language:
English

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