Fierz relations for Volkov spinors and the simplification of Furry picture traces
arXiv:1608.06527 · doi:10.1103/PhysRevD.94.073002
Abstract
Transition probability calculations of strong field particle processes in the Furry picture, typically use fermion Volkov solutions. These solutions have a relatively complicated spinor due to the interaction of the electron spin with a strong external field, which in turn leads to unwieldy trace calculations. The simplification of these calculations would aid theoretical studies of strong field phenomena such as the predicted resonance behaviour of higher order Furry picture processes. Here, Fierz transformations of Volkov spinors are developed and applied to a 1st order and a 2nd order Furry picture process. Combined with symmetry properties, the techniques presented here are generally applicable and lead to considerable simplification of Furry picture analytic calculations.
arXiv comment8 pages, 3 figures
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Cited by in corpus (5)
- Strong field QED in lepton colliders and electron/laser interactions
- Back-reaction on background fields: a coherent state approach
- Electron-positron annihilation into two photons in an intense plane-wave field
- Quasiclassical representation of the Volkov propagator and the tadpole diagram in a plane wave
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