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Exact asymptotic form for the β function in quantum electrodynamics

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

It is shown that the asymptotic form of the Gell-Mann-Low function in quantum electrodynamics can be determined exactly: β(g) = g for g → ∞, where g = e 2 is the running fine-structure constant. This solves the problem of electrodynamics at small distances L (for which dependence gL −2 holds) and completely eliminates the problem of “zero charge.”

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Correspondence to I. M. Suslov.

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Original Russian Text © I.M. Suslov, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 135, No. 6, pp. 1129–1133.

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Suslov, I.M. Exact asymptotic form for the β function in quantum electrodynamics. J. Exp. Theor. Phys. 108, 980–984 (2009). https://doi.org/10.1134/S1063776109060089

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