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Dimensional renormalization: Ladders and rainbows
journal contribution
posted on 2023-05-16, 10:27 authored by Robert DelbourgoRobert Delbourgo, Kalloniatis, AC, G ThompsonRenormalization 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 the factors and renormalized Green's functions to all orders in perturbation theory for rainbow graphs and vertex (or scattering) diagrams at zero momentum transfer, in the context of dimensional regularization, and we prove that the correct anomalous dimensions for those processes emerge in the limit D→4.
History
Publication title
Physical Review DVolume
54Issue
8Pagination
5373-5376ISSN
0556-2821Department/School
School of Natural SciencesPublisher
The American Physical SocietyPlace of publication
Woodbury, New York, USARepository Status
- Restricted