Complex Worldline Instantons and Quantum Interference in Vacuum Pair Production

Abstract

We describe in detail a physical situation in which instantons are necessarily complex, not just Wick rotations of classical solutions to Euclidean spacetime. These complex instantons arise in the semiclassical evaluation of vacuum pair production rates, based on Feynman's worldline path integral formulation. Even though the path integral is a sum over all real closed trajectories in spacetime, the semiclassical description of non-perturbative pair production is dominated by closed classical trajectories that are generically complex. These closed trajectories contain segments associated with nonperturbative instanton suppression factors as well as segments producing phase factors that incorporate quantum interference effects. For a class of time-dependent electric fields we implement this procedure and demonstrate excellent quantitative agreement with alternative methods.

17 pages, 9 figures

References in corpus (20)

• Prolific pair production with high-power lasers
• Dynamically assisted Schwinger mechanism
• Worldline Instantons II: The Fluctuation Prefactor
• Momentum signatures for Schwinger pair production in short laser pulses with a sub-cycle structure
• On the Schwinger limit attainability with extreme power lasers
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses
• Finite size effects in stimulated laser pair production
• Pair Creation in QED-Strong Pulsed Laser Fields Interacting with Electron Beams
• Interference Effects in Schwinger Vacuum Pair Production for Time-Dependent Laser Pulses
• Barrier control in tunneling e^+ e^- photoproduction
• Improved Approximations for Fermion Pair Production in Inhomogeneous Electric Fields
• Ramsey Fringes and Time-domain Multiple-Slit Interference from Vacuum
• Complexified Dynamical Systems
• Dynamical Schwinger effect and high-intensity lasers. Realising nonperturbative QED
• Strong field effects in laser pulses: the Wigner formalism
• Gutzwiller's Trace Formula and Vacuum Pair Production
• Complex trajectories in chaotic dynamical tunneling
• Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition
• Path integration and perturbation theory with complex Euclidean actions

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