Worldline instantons for nonlinear Breit-Wheeler pair production and Compton scattering
arXiv:2112.11433 · doi:10.1103/PhysRevD.105.096036
Abstract
Worldline instantons have previously been used to study the probability of Schwinger pair production (both the exponential and pre-exponential parts) and photon-stimulated pair production (the exponential part). Previous studies obtained the pair-production probability on the probability level by using unitarity, i.e. the imaginary part of the effective action for Schwinger pair production or the imaginary part of the polarization tensor for photon-stimulated pair production. The corresponding instantons are closed loops in the complex plane. Here we show how to use instantons on the amplitude level, which means open instanton lines with start and end points representing fermions at asymptotic times. The amplitude is amputated with LSZ using, in general, field-dependent asymptotic states. We show how to use this formalism for photon-stimulated/Breit-Wheeler pair production and nonlinear Compton scattering.
26 pages, 3 figures
References in corpus (12)
- Worldline Instantons II: The Fluctuation Prefactor
- Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
- Interference Effects in Schwinger Vacuum Pair Production for Time-Dependent Laser Pulses
- Nonlinear Breit-Wheeler pair production in a tightly focused laser beam
- Multidimensional Worldline Instantons
- Scaling laws for positron production in laser--electron-beam collisions
- Gutzwiller's Trace Formula and Vacuum Pair Production
- Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
- Doubly assisted Sauter-Schwinger effect
- Schwinger effect in inhomogeneous electric fields
- Lorentzian worldline path integral approach to Schwinger effect
- N-photon amplitudes in a plane-wave background
Cited by in corpus (6)
- Advances in QED with intense background fields
- Plasma dynamics at the Schwinger limit and beyond
- Worldline instantons for the momentum spectrum of Schwinger pair production in space-time dependent fields
- The worldline formalism in strong-field QED
- Schwinger pair production in spacetime fields: Moiré patterns, Aharonov-Bohm phases and Sturm-Liouville eigenvalues
- Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes