Dimensional renormalization: Ladders to rainbows

May, 1996
8 pages
Published in:
  • Phys.Rev.D 54 (1996) 5373-5376
e-Print:
Report number:
  • UTAS-PHYS-95-07

Citations per year

1996200320102017202402468
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.
  • 11.10.Jj
  • 11.10.Gh
  • 11.10.Kk
  • field theory: scalar
  • fermion
  • coupling: Yukawa
  • Yukawa: coupling
  • perturbation theory: higher-order
  • renormalization: dimensional