Multidimensional Worldline Instantons
arXiv:hep-th/0608020 · doi:10.1103/PhysRevD.74.065015
Abstract
We extend the worldline instanton technique to compute the vacuum pair production rate for spatially inhomogeneous electric background fields, with the spatial inhomogeneity being genuinely two or three dimensional, both for the magnitude and direction of the electric field. Other techniques, such as WKB, have not been applied to such higher dimensional problems. Our method exploits the instanton dominance of the worldline path integral expression for the effective action.
22 pages, 13 figures
References in corpus (13)
- 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
- Pair Production from Vacuum at the Focus of an X-Ray Free Electron Laser
- The Quantum Vlasov Equation and its Markov Limit
- Worldline Instantons II: The Fluctuation Prefactor
- Pair Creation and an X-ray Free Electron Laser
- Schwinger Pair Production via Instantons in Strong Electric Fields
- From Color Glass Condensate to Quark Gluon Plasma through the event horizon
- Pair production in inhomogeneous fields
- Schwinger Pair Production in Electric and Magnetic Fields
- Quantum effects with an X-ray free electron laser
- Wong's equations and the small x effective action in QCD
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