QED amplitudes: recurrence relations to all orders

Abstract

We describe the origins of recurrence relations between field theory amplitudes in terms of the construction of Feynman diagrams. In application we derive recurrence relations for the amplitudes of QED which hold to all loop orders and for all combinations of external particles. These results may also be derived from the Schwinger-Dyson equations.

10 pages, 2 .eps figures. Replaced with published version - reference added, conclusion extended

References in corpus (5)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
• Non-Supersymmetric Loop Amplitudes and MHV Vertices
• Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
• MHV Techniques for QED Processes

Cited by in corpus (3)

• Recursive Relations For Processes With n Photons Of Noncommutative QED
• Amplitudes With Different Helicity Configurations Of Noncommutative QED
• Recursive structures in string field theory