2021
DOI: 10.48550/arxiv.2107.08741
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Sauter-Schwinger effect for colliding laser pulses

Abstract: We study electron-positron pair creation by the electromagnetic field of two colliding laser pulses as described by the vector potential A(t, r) = [f (ct − x) + f (ct + x)]ey. Employing the world-line instanton technique as well as a generalized WKB approach, we find that the pair creation rate along the symmetry axis x = 0 (where one would expect the maximum contribution) displays the same exponential dependence as for a purely time-dependent electric field A(t) = 2f (ct)ey. The pre-factor in front of this ex… Show more

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Cited by 5 publications
(7 citation statements)
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“…WKB can also be generalised to better capture pair production by mixing the lowest order WKB ansatz with a Bogoliubov transformation. This approach was used in [670,876] to study the impact of magnetic fields on pair production in space-and-time dependent fields A(x) = (f (x − ) + f (x + )) e (with e transverse, as in plane waves) modelling colliding laser pulses.…”
Section: Wkb Approximationsmentioning
confidence: 99%
“…WKB can also be generalised to better capture pair production by mixing the lowest order WKB ansatz with a Bogoliubov transformation. This approach was used in [670,876] to study the impact of magnetic fields on pair production in space-and-time dependent fields A(x) = (f (x − ) + f (x + )) e (with e transverse, as in plane waves) modelling colliding laser pulses.…”
Section: Wkb Approximationsmentioning
confidence: 99%
“…WKB can also be generalised to better capture pair production by mixing the lowest order WKB ansatz with a Bogoliubov transformation. This approach was used in [684,887] to study the impact of magnetic fields on pair production in space-and-time dependent fields A(x) = (f (x − ) + f (x + )) e (with e transverse, as in plane waves) modelling colliding laser pulses.…”
Section: Wkb Approximationsmentioning
confidence: 99%
“…Here we show how to solve the scalar and spinor mode equations ( 9) and ( 23) for the Sauter field (30) in the gauge (31), combining the scalar and spinor QED cases as…”
Section: Solution Of the Mode Equations For The Sauter Fieldmentioning
confidence: 99%
“…The evolution equations (1), (3) have turned out to be very suitable for brute-force numerical evaluation, as well as for other approximation schemes [14,[16][17][18][19][20]31]. However, their structure as integro-differential equations makes them rather intractable for attempts at closed-form analytic evaluation.…”
Section: Introductionmentioning
confidence: 99%