Electron-positron pair creation in a vacuum by an electromagnetic field in 3<i>+</i>1 and lower dimensions

Lin, Qiong-Gui

doi:10.1088/0954-3899/25/1/003

Cited by 32 publications

(37 citation statements)

References 8 publications

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“…This result with nonzero magnetic field is interesting. Unlike the case when the static E field is parallel to the B field [12,14] for which the pair creation is believed to be slightly enhanced by the magnetic field, the configuration with the E field perpendicular to the B field produces an overall suppression of created pairs.…”

Section: Total Pair Creation and The Corresponding Spatial Densitymentioning

confidence: 88%

“…For the case of a static and uniform electric field parallel to a static and uniform magnetic field we refer to the work of [12,14]. In this work we take the case of a time-independent magnetic field (assumed to point in the z direction) and a time-independent electric field (pointing in the x direction).…”

Section: Application To Pair Creation In Steady Electric and Magmentioning

confidence: 99%

“…The pair creation rate per unit volume per unit time for mutually perpendicular static and spatially homogeneous EM fields [14,40] is (again in atomic units) for the 2D system …”

Section: The Constant Field Limitmentioning

confidence: 99%

“…For uniform static electric and magnetic fields with arbitrary directions, the result is similar to the case where the E and B fields are parallel to each other. Here the effective electric and magnetic field strengths are given by {[ √ (F 1 2 + F 2 2 ) + F 1 ]/2} 1/2 and {[ √ (F 1 2 + F 2 2 )−F 1 ]/2} 1/2 , respectively, where the Lorentz invariants are defined as F 1 = E 2 − B 2 and F 2 = 2E · B [13,14]. When the magnetic field is perpendicular to the electric field, F 2 = 0, then an increasing magnetic field reduces the effective electric field strength leading naturally to a lower pair creation rate.…”

Section: Introductionmentioning

confidence: 99%

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Suppression of pair creation due to a steady magnetic field

Jiang

et al. 2012

Phys. Rev. A

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We investigate the electron-positron pair creation process in a supercritical static electric field in the presence of a static magnetic field that is perpendicular. If both fields vary spatially in one direction the dynamics can be reduced to a set of one-dimensional systems. Using a generalized computational quantum field theoretical procedure, we calculate the time dependence of the spatial density for the created electrons. In the presence of the magnetic field, a significant amount of suppression of pair creation is observed in the simulations and confirmed by an analytical analysis for the limits of short-range fields and long interaction times. This suppression might be interpreted in terms of Pauli blocking by the electron during its return to the creation region as it performs a cyclotronlike motion in the magnetic field.

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Section: Total Pair Creation and The Corresponding Spatial Densitymentioning

confidence: 88%

Section: Application To Pair Creation In Steady Electric and Magmentioning

confidence: 99%

“…The pair creation rate per unit volume per unit time for mutually perpendicular static and spatially homogeneous EM fields [14,40] is (again in atomic units) for the 2D system …”

Section: The Constant Field Limitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Suppression of pair creation due to a steady magnetic field

Jiang

et al. 2012

Phys. Rev. A

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“…A comparison with the standard flat space-time case [4,41] shows that the structure of the ultracold II manifold, which is a product of a 2D flat-spacetime times a 2D sphere, yields to the substitution of the (Gaussian) integral over the transverse dimensions with an infinite sum over k, still to be valued. We recall that in the flat space-time case, one finds for the 4D density of the imaginary part of the effective action…”

Section: )mentioning

confidence: 99%

Artificial Control of Dot Sites for Ga Droplet Arrays on CaF₂ Films by Surface Steps and Electron Beam Modifications

Uejima

Takeshita

Kawasaki

et al. 1997

Jpn. J. Appl. Phys.

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Spontaneous loss of charge by charged black holes by means of pair-creation of charged Dirac particles is considered. We provide three examples of exact calculations for the spontaneous discharge process for 4D charged black holes by considering the process on three special non-rotating de Sitter black hole backgrounds, which allow to bring back the problem to a Kaluza-Klein reduction. Both the zeta-function approach and the transmission coefficient approach are taken into account. A comparison between the two methods is also provided, as well as a comparison with WKB results. In the case of non-zero temperature of the geometric background, we also discuss thermal effects on the discharge process.ArXiv ePrint: 0906.1520 JHEP08(2009)028 determines a negative energy potential which at classical level must be discarded. However, at quantum level, negative energy states must be included, and a quantum interpretation to this couple of potentials can be given. The positive energy potential determines the allowed positive energy states, whereas the negative energy potential determines the allowed negative energy states. The usual separation of these states occurring in absence of external fields is not ensured a priori, and there can be regions where an overlap of positive and negative states for the particle is allowed, i.e. the Klein paradox takes place. In these level-crossing regions, by means of tunneling between negative and positive states, pair production of charged particles can take place with a rate determined by the transmission probability for the particle to cross the forbidden region between the two potentials, and can be computed e.g. in the WKB approximation.We improved this semiclassical picture in the case of anti de Sitter Reissner-Nordström black holes showing that the potentials have a direct interpretation at the quantum level without referring to the classical H-J equation [11]. Then, for the class of de Sitter Reissner-Nordström black holes we found that level-crossing is always present, due to the peculiar occurrence of both a black hole event horizon and a cosmological event horizon [12], and we also considered a particular limit case, when the black hole horizon radius r + equates the cosmological horizon radius r c : the Nariai black hole [13][14][15]. The aforementioned class of solutions contains further limit cases, corresponding to the extremal cases r − = r + = r c , which are called ultracold solutions of type I and II [13,15]. A careful WKB analysis was also performed for the Nariai case and the ultracold ones.Herein, we develop our analysis of the pair-creation process associated with the black hole electrostatic field, and fully exploit the fact that the aforementioned special backgrounds allow an exact calculation of the vacuum instability. As a consequence, we can provide for the first time, to our knowledge, exact results for the instability of 4D charged black holes. We point out that our backgrounds are of a special character: in all the cases the geometry involved is the one o...

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Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED. Part I: two-loop

Huet

McKeon

Schubert

2010

J. High Energ. Phys.

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We continue an effort to obtain information on the QED perturbation series at high loop orders, and particularly on the issue of large cancellations inside gauge invariant classes of graphs, using the example of the l -loop N -photon amplitudes in the limit of large photons numbers and low photon energies. As was previously shown, high-order information on these amplitudes can be obtained from a nonperturbative formula, due to Affleck et al., for the imaginary part of the QED effective lagrangian in a constant field. The procedure uses Borel analysis and leads, under some plausible assumptions, to a number of nontrivial predictions already at the three-loop level. Their direct verification would require a calculation of this 'Euler-Heisenberg lagrangian' at three-loops, which seems presently out of reach. Motivated by previous work by Dunne and Krasnansky on Euler-Heisenberg lagrangians in various dimensions, in the present work we initiate a new line of attack on this problem by deriving and proving the analogous predictions in the simpler setting of 1+1 dimensional QED. In the first part of this series, we obtain a generalization of the formula of Affleck et al. to this case, and show that, for both Scalar and Spinor QED, it correctly predicts the leading asymptotic behaviour of the weak field expansion coefficients of the two loop Euler-Heisenberg lagrangians.

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Electron-positron pair creation in a vacuum by an electromagnetic field in 3+1 and lower dimensions

Cited by 32 publications

References 8 publications

Suppression of pair creation due to a steady magnetic field

Suppression of pair creation due to a steady magnetic field

Artificial Control of Dot Sites for Ga Droplet Arrays on CaF₂ Films by Surface Steps and Electron Beam Modifications

Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED. Part I: two-loop

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Electron-positron pair creation in a vacuum by an electromagnetic field in 3+1 and lower dimensions

Cited by 32 publications

References 8 publications

Suppression of pair creation due to a steady magnetic field

Suppression of pair creation due to a steady magnetic field

Artificial Control of Dot Sites for Ga Droplet Arrays on CaF 2 Films by Surface Steps and Electron Beam Modifications

Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED. Part I: two-loop

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Artificial Control of Dot Sites for Ga Droplet Arrays on CaF₂ Films by Surface Steps and Electron Beam Modifications