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The symmetric limit (19.23) $$S^{\mu\nu}~:=~ \text{symm}\,\lim_{\epsilon \rightarrow 0} \left\{\frac{\epsilon^{\mu}\epsilon^{\nu}}{\epsilon^2}\right\}, \qquad \epsilon^2~:=~\epsilon^{\mu}g_{\mu\nu}\epsilon^{\nu},$$ should be thought of as a regularization prescription. It is part of a symmetric point splitting regularization scheme, cf. Ref. 1. The ...


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using zeta regularization and Euler maclaurin series the integral $ \int_{0}^{\infty}x^{m} $ is not zero but is related to $ \zeta (-m) $ see my paper http://vixra.org/abs/1009.0047 adn in particular $ \int_{0}^{\infty}dx=1+\zeta (0) 4 by euler maclaurin formula


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As pointed out, the cross sections for certain processes diverge in the IR. However, we know from everyday life that measurements don't diverge. In other words in any actual experiment the number of photons is finite. While physically very obvious, it is apriori unclear how QFT is consistent with this observation. Based on this observation, one might naively ...



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