Dimensional renormalization: ladders to rainbows

Abstract

Renormalization factors are most easily extracted by going to the massless limit of the quantum field theory and retaining only a single momentum scale. We derive factors and renormalized Green functions to all orders in perturbation theory for rainbow graphs and vertex (or scattering diagrams) at zero momentum transfer, in the context of dimensional renormalization, and we prove that the correct anomalous dimensions for those processes emerge in the limit D -> 4.

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References in corpus (3)

• Knots and Numbers in ${\varphi }^4$ Theory to 7 Loops and Beyond
• Unknotting the polarized vacuum of quenched QED
• Knots and Divergences

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• Solution of coupled vertex and propagator Dyson-Schwinger equations in the scalar Munczek-Nemirovsky model
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