Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
28 (1987), S. 2990-2993
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Using dimensional regularization, the lowest-order electron self-energy function in an arbitrary covariant gauge is derived. For off-mass-shell electrons, the usual expression for the finite portion Σ f of the self-energy as the number of space-time dimensions n approaches 4 is recovered. In the case of on-mass-shell electrons, the condition (p(Slashthrough accent mark)−m)Σ f→0 as p(Slashthrough accent mark)→m, which is necessary to make the usual separation of the renormalization constant unambiguous, requires that n approach 4 from above, i.e., n→4+. This necessary condition on Σ f is not satisfied by the off-mass-shell expression in the limit p2→m2 due to a branch point in the self-energy operator.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527705
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