Particle creation by peak electric field

Adorno, T. C.; Gavrilov, S. P.; Гитман, Д. М.

doi:10.1140/epjc/s10052-016-4289-0

Cited by 19 publications

(31 citation statements)

References 46 publications

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“…(31) is particularly useful to compare the present results with another exactly solvable examples, for instance a T -constant electric field [17,8] and a peak electric field [20], whose dominant densities are proportional to the corresponding total increment of the longitudinal kinetic momentum in the slowly varying regime. Recalling the definitions of the T -constant electric field and the peak electric field [8,20,22]…”

Section: Total Numbersmentioning

confidence: 99%

Violation of vacuum stability by inverse square electric fields

2018

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In the framework of QED with a strong background, we study particle creation (the Schwinger effect) by a time-dependent inverse square electric field. To this end corresponding exact in-and out-solutions of the Dirac and Klein-Gordon equations are found. We calculate the vacuum-to-vacuum probability and differential and total mean numbers of pairs created from the vacuum. For electric fields varying slowly in time, we present detailed calculations of the Schwinger effect and discuss possible asymptotic regimes. The obtained results are consistent with universal estimates of the particle creation effect by electric fields in the locally constant field approximation. Differential and total quantities corresponding to asymmetrical configurations are also discussed in detail. Finally, the inverse square electric field is used to imitate switching on and off processes. Then the case under consideration is compared with the one where an exponential electric field is used to imitate switching on and off processes.

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Section: Total Numbersmentioning

confidence: 99%

Violation of vacuum stability by inverse square electric fields

2018

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“…Throughout the text, we refer to I as the switching-on interval, III as the switching-off interval and II as the constant field interval. This field configuration encompasses the T -constant field [6], characterized by the absence of exponential parts, and the peak field [7].…”

Section: In and Out Solutions In A Composite Electric Fieldmentioning

confidence: 99%

“…In addition, the index j in Eqs. (7), (9) and (10) distinguish quantities associated to the switching-on (j = 1) from the switching-off (j = 2) intervals.…”

Section: The Constant Spinors Satisfymentioning

confidence: 99%

Role of switching-on and -off effects in the vacuum instability

Adorno

Ferreira

Gavrilov

et al. 2018

Int. J. Mod. Phys. A

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We find exact differential mean numbers of fermions and bosons created from the vacuum due to a composite electric field of special configuration. This configuration imitates a finite switching-on and -off regime and consists of fields that switch-on exponentially from the infinitely remote past, remains constant during a certain interval T and switch-off exponentially to the infinitely remote future. We show that calculations in the slowly varying field approximation are completely predictable in the framework of a locally constant field approximation.Beyond the slowly varying field approximation, we study effects of fast switching-on and -off in a number of cases when the size of the dimensionless parameter √ eET is either close or exceeds the threshold value that determines the transition from a regime sensitive to on-off parameters to the slowly varying regime for which these effects are secondary.

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“…For the analytically solvable cases discussed in Refs. [14][15][16][17] our calculations reproduce the exact values with perfect accuracy. It is possible to consider an arbitrary function E(t) and, moreover, this technique can be easily modified in order to treat arbitrary static fields E(x), which are inhomogeneous in one space direction [18,19].…”

Section: One-dimensional Casementioning

confidence: 62%

Electron-positron pair production in external electric fields varying both in space and time

2016

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The Schwinger mechanism of electron-positron pair production in the presence of strong external electric fields is analyzed numerically for the case of one-and two-dimensional field configurations where the external field depends both on time and one spatial coordinate. In order to provide this analysis, a new efficient numerical approach is developed. The number of particles created is obtained numerically and also compared with the analytical results for several exactly solvable one-dimensional backgrounds. For the case of two-dimensional field configurations the effects of the spatial finiteness are examined, which confirms their importance and helps us to attest our approach further. The corresponding calculations are also performed for several more interesting and nontrivial combinations of temporal and spatial inhomogeneities. Finally, we discuss the case of a spatially periodic external field when the approach is particularly productive. The method employed is described in detail.

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Particle creation by peak electric field

Cited by 19 publications

References 46 publications

Violation of vacuum stability by inverse square electric fields

Violation of vacuum stability by inverse square electric fields

Role of switching-on and -off effects in the vacuum instability

Electron-positron pair production in external electric fields varying both in space and time

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