On dimensional regularisation and current commutators in quantum electrodynamics
C O Nwachuku; C O Nwachuku; Dept. of Math., Univ. of Benin, Benin City, Nigeria
Журнал:
Journal of Physics G: Nuclear Physics
Дата:
1977-12-01
Аннотация:
The spectral functions rho (k<sup>2</sup>) to order e<sup>2</sup> in quantum electrodynamics (QED) for an arbitrary space of dimension 2L are derived and are used to calculate the vacuum expectation value (VEV) of the vector current commutators in a closed form for intermediate fermion states of arbitrary mass. A particularly difficult integral in the VEV including the mass term is evaluated as a Meijer G function. Using these results the problem of equal-time current-current commutators (Schwinger terms) is approached covariantly, thereby resolving some renormalisation ambiguities, and also the well known ambiguities attendant on any naive use of the T product at equal times.
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