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.
arXiv comment26 pages, 3 figures
References in corpus (43)
- Perturbative Quantum Field Theory in the String-Inspired Formalism
- Field Theory Without Feynman Diagrams: One-Loop Effective Actions
- Worldline Instantons and Pair Production in Inhomogeneous Fields
- Worldline Instantons II: The Fluctuation Prefactor
- Catalysis of Schwinger Vacuum Pair Production
- Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
- Pair production in inhomogeneous fields
- Interference Effects in Schwinger Vacuum Pair Production for Time-Dependent Laser Pulses
- Probing nonperturbative QED with optimally focused laser pulses
- Nonlinear Breit-Wheeler pair production in a tightly focused laser beam
- Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
- Complex Worldline Instantons and Quantum Interference in Vacuum Pair Production
- Multidimensional Worldline Instantons
- Quantum diffusion of magnetic fields in a numerical worldline approach
- Scaling laws for positron production in laser--electron-beam collisions
- Thermal Schwinger pair production at arbitrary coupling
- Trident pair production in plane waves: Coherence, exchange, and spacetime inhomogeneity
- On the string-inspired approach to QED in external field
- Dynamically assisted Sauter-Schwinger effect - non-perturbative versus perturbative aspects
- Single and double nonlinear Compton scattering
- Nonperturbative pair production in interpolating fields
- Localisation in worldline pair production and lightfront zero-modes
- Sauter-Schwinger pair creation dynamically assisted by a plane wave
- One-particle reducible contribution to the one-loop spinor propagator in a constant field
- Approximating higher-order nonlinear QED processes with first-order building blocks
- Semiclassical Calculation of Photon-Stimulated Schwinger Pair Creation
- Gutzwiller's Trace Formula and Vacuum Pair Production
- Discrete worldline instantons
- Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
- Vacuum polarization tensor in inhomogeneous magnetic fields
- Doubly assisted Sauter-Schwinger effect
- Master formulas for the dressed scalar propagator in a constant field
- Vacuum Polarization in QED with World-Line Methods
- Schwinger effect in inhomogeneous electric fields
- Lorentzian worldline path integral approach to Schwinger effect
- Width of photon decay in magnetic field: elementary semiclassical derivation and sensitivity to Lorentz violation
- The worldline approach to helicity flip in plane waves
- WKB approach to pair creation in spacetime-dependent fields
- Multidimensional quantum tunneling in the Schwinger effect
- Non-perturbative signatures of non-linear Compton scattering
- Dressed Dirac Propagator from a Locally Supersymmetric Spinning Particle
- Geometry of spin-field coupling on the worldline
- 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