ar X iv : h ep - t h / 04 10 07 1 v 1 7 O ct 2 00 4 DIVERGENCE OF THE 1 N f - SERIES EXPASION IN QED
نویسنده
چکیده
It has been argued by Dyson that the perturbation theory in coupling constant in QED can not be convergent. We provide similar arguments for the divergence of the series of 1 Nf expansion in QED. This result should hold for large class of QFTs where such an expansion is under taken. PACS numbers:03.65.-w,11.01.-z,12.20.-m
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ar X iv : h ep - t h / 04 10 07 1 v 3 4 A pr 2 00 5 DIVERGENCE OF THE 1 N f - SERIES EXPASION IN QED
The perturbative expansion series in coupling constant in QED is divergent. It is either an asymptotic series or an arrangement of a conditionally convergent series. The sums of these types of series depend on the way we arrange the partial sums for successive approximations. The 1/Nf series expansion in QED, where Nf is the number of flavours, defines a rearrangement of the perturbative series...
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The perturbative expansion series in coupling constant in QED is divergent and is expected to be, at the best, conditionally convergent. The 1/Nf series expansion, where Nf is the number of flavours, defines a rearrangement of this perturbative series, and therefore, its convergence would serve as a proof that the perturbative series is, in fact, conditionally convergent.Unfortunately, the 1/Nf...
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