Master formulas for photon amplitudes in a combined constant and plane-wave background field

Abstract

The worldline formalism has previously been used for deriving compact master formulas for the QED N - photon amplitudes in vacuum, in a constant field and in a plane-wave field. Here we carry this program one step further by deriving master formulas for the scalar and spinor QED one-loop N-photon amplitudes in the background of the “parallel” special case of a combined constant and plane-wave field.

Keywords

• Worldline formalism
• Photon amplitudes
• Plane-wave background
• Constant field