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- W2064366969 abstract "We study the structure of the renormalized electromagnetic current vertex, ${stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{Gamma}}}_{ensuremath{mu}}(p, p+q, q)$, in finite quantum electrodynamics. Using conformal invariance we find that ${stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{Gamma}}}_{ensuremath{mu}}(p, p, 0)$ takes the simple form of ${Z}_{1}{ensuremath{gamma}}_{ensuremath{mu}}$ when the external fermions are far off the mass shell. We interpret this result as an old theorem on the structure of the vertex function due to Gell-Mann and Zachariasen. We give the general structure of the vertex for arbitrary momentum transfer parametrically, and discuss how the Bethe-Salpeter equation and the Federbush-Johnson theorem are satisfied. We contrast the meaning of pointlike in a finite field theory with the meaning understood in the parton model. We discuss to what extent the condition ${Z}_{1}=0$, which may hold in conformal theories other than finite quantum electrodynamics, may be interpreted as a bootstrap condition. We show that the vanishing of ${Z}_{1}$ prevents there being bound states in the Migdal-Polyakov bootstrap." @default.
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- W2064366969 date "1975-06-15" @default.
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- W2064366969 title "Structure of the vertex function in finite quantum electrodynamics" @default.
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- W2064366969 doi "https://doi.org/10.1103/physrevd.11.3472" @default.
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