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Master formulas for photon amplitudes in a combined constant and plane-wave background field. (English) Zbl 1528.81178

Summary: 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.

MSC:

81S22 Open systems, reduced dynamics, master equations, decoherence
35C07 Traveling wave solutions
81V80 Quantum optics
78A40 Waves and radiation in optics and electromagnetic theory
78A30 Electro- and magnetostatics
81V10 Electromagnetic interaction; quantum electrodynamics
81R25 Spinor and twistor methods applied to problems in quantum theory
20N05 Loops, quasigroups

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