On conformal invariant integrals involving spin one-half and spin-one particles

Abstract

We consider the evaluation of D-dimensional conformal invariant integrals which involve spin one-half and spin-one particles. The star-triangle relation for the massless Yukawa theory is derived, and the longitudinal part of the three-point Green function of massless QED is determined to the lowest order in position space. The operator algebraic method of calculating massless Feynman integrals is used for the evaluation.

8 pages; one reference added, minor addition in Introduction, version to appear in J. Phys. A

References in corpus (6)

• Implications of Conformal Invariance in Field Theories for General Dimensions
• 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
• Further results for the two-loop Lcc vertex in the Landau gauge
• Gauge dependence of the infrared behaviour of massless QED_3

Cited by in corpus (7)

• 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
• Three-point Green function of massless QED in position space to lowest order
• External leg amputation in conformal invariant three-point function