The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses - INSPIRE

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The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses

Cesim K. Dumlu
(
- Connecticut U.
)
,
Gerald V. Dunne
(
- Connecticut U.
)

Apr, 2010

5 pages

Published in:

Phys.Rev.Lett. 104 (2010) 250402

e-Print:

1004.2509 [hep-th]

DOI:

10.1103/PhysRevLett.104.250402

View in:

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Abstract: (arXiv)

Particle production due to external fields (electric, chromo-electric or gravitational) requires evolving an initial state through an interaction with a time-dependent background, with the rate being computed from a Bogoliubov transformation between the in and out vacua. When the background fields have temporal profiles with sub-structure, a semiclassical analysis of this problem confronts the full subtlety of the Stokes phenomenon: WKB solutions are only local, while the production rate requires global information. Incorporating the Stokes phenomenon, we give a simple quantitative explanation of the recently computed [Phys. Rev. Lett. 102, 150404 (2009)] oscillatory momentum spectrum of e+e- pairs produced from vacuum subjected to a time-dependent electric field with sub-cycle laser pulse structure. This approach also explains naturally why for spinor and scalar QED these oscillations are out of phase.

11.15.Tk
12.20.Ds
03.65.Sq
background: time dependence
quantum electrodynamics: scalar
spinor
laser
momentum spectrum
WKB approximation
electron: pair production

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