Three-point Green function of massless QED in position space to lowest order

Abstract

The transverse part of the three-point Green function of massless QED is determined to the lowest order in position space. Taken together with the evaluation of the longitudinal part in arXiv:0803.2630, this gives a relation for QED which is analogous to the star-triangle relation. We relate our result to conformal-invariant three-point functions.

8 pages

References in corpus (5)

• Multi-loop Feynman integrals and conformal quantum mechanics
• Towards the two-loop Lcc vertex in Landau gauge
• Infrared behaviour of massless QED in space-time dimensions 2 < d < 4
• On conformal invariant integrals involving spin one-half and spin-one particles
• Gauge dependence of the infrared behaviour of massless QED_3

Cited by in corpus (6)

• Large $N_f$ quantum field theory
• Solution to Bethe-Salpeter equation via Mellin-Barnes transform
• New four-dimensional integrals by Mellin-Barnes transform
• Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
• Finiteness of N =4 super-Yang-Mills effective action in terms of dressed N =1 superfields
• External leg amputation in conformal invariant three-point function