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The non-perturbative electron-positron pair production (Schwinger effect) is considered for space- and time-dependent electric fields $\vec{E}(\vec{x},t)$. Based on the Dirac-Heisenberg-Wigner (DHW), formalism we derive a system of partial…

High Energy Physics - Phenomenology · Physics 2010-12-23 Florian Hebenstreit , Reinhard Alkofer , Holger Gies

In scalar QED we study the Schwinger pair production from an initial ensemble of charged bosons when an electric field is turned on for a finite period together with or without a constant magnetic field. The scalar QED Hamiltonian depends…

High Energy Physics - Theory · Physics 2008-11-26 Sang Pyo Kim , Hyun Kyu Lee

Using a quantum kinetic equation coupled to Maxwell's equation we study the possibility that focused beams at proposed X-ray free electron laser facilities can generate electric field strengths large enough to cause spontaneous…

Nuclear Theory · Physics 2008-11-26 R. Alkofer , M. B. Hecht , C. D. Roberts , S. M. Schmidt , D. V. Vinnik

Electron-positron pair production for inhomogeneous electric and magnetic fields oscillating in space and time is investigated. By employing accurate numerical methods (Furry-picture quantization and quantum kinetic theory), final particle…

High Energy Physics - Phenomenology · Physics 2020-06-23 Ivan A. Aleksandrov , Christian Kohlfürst

Based on the quantum mechanical scattering model, the dynamical assist effect and the multiple-slit interference effect in electron-positron pair production from vacuum are generalized to vacuum pair production of charged scalar bosons. For…

Quantum Physics · Physics 2013-12-11 Zi-Liang Li , Ding Lu , Bai-Song Xie

Reformulating the instantons in a complex plane for tunneling or transmitting states, we calculate the pair-production rate of charged fermions in a spatially localized electric field, illustrated by the Sauter electric field E_0 sech^2…

High Energy Physics - Theory · Physics 2008-11-26 Sang Pyo Kim , Don N. Page

Charged particles in static electric and magnetic fields have Landau levels and tunneling states from the vacuum. Using the instanton method of Phys. Rev. D 65, 105002 (2002), we obtain the formulae for the pair-production rate in spinor…

High Energy Physics - Theory · Physics 2011-07-18 Sang Pyo Kim , Don N. Page

A remarkable quantitative agreement is found between the non-Markovian quantum kinetic approach and the time-dependent Dirac equation approach for a large region of Keldysh parameter, in the investigation of electron-positron pair…

Quantum Physics · Physics 2017-08-30 Qiang Wang , Li-Bin Fu , Jie Liu

We present a detailed analysis of the self-consistent system of kinetic equations (KEs) describing electron-positron pair production from vacuum under the action of a spatially homogeneous time-dependent electric field of arbitrary…

High Energy Physics - Phenomenology · Physics 2021-02-03 I. A. Aleksandrov , V. V. Dmitriev , D. G. Sevostyanov , S. A. Smolyansky

We formulate the second quantization of a charged scalar field in homogeneous, time-dependent electromagnetic fields, in which the Hamiltonian is an infinite system of decoupled, time-dependent oscillators for electric fields, but it is…

High Energy Physics - Theory · Physics 2015-06-19 Sang Pyo Kim

We study the vacuum pair production by a time-dependent strong electric field based on the exact WKB analysis. We identify the generic structure of a Stokes graph for systems with the vacuum pair production and show that the number of…

High Energy Physics - Theory · Physics 2022-01-05 Hidetoshi Taya , Toshiaki Fujimori , Tatsuhiro Misumi , Muneto Nitta , Norisuke Sakai

We semiclassically investigate Schwinger pair production for pulsed rotating electric fields depending on time. To do so we solve the Dirac equation for two-component fields in a WKB-like approximation. The result shows that for…

High Energy Physics - Theory · Physics 2015-03-05 Eckhard Strobel , She-Sheng Xue

We discuss the mechanism of production of electron-positron pairs from the vacuum in a time-varying, spatially uniform pulsed electric field. We analytically compute the probability of $(e^+ e^-) $pair production in momentum space using the…

High Energy Physics - Phenomenology · Physics 2025-07-14 Deepak Sah , Manoranjan P. Singh

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…

High Energy Physics - Theory · Physics 2019-01-08 T. C. Adorno , S. P. Gavrilov , D. M. Gitman

In quantum field theory, particle creation occurs, in general, when an intense external field, such as an electromagnetic field, breaks time translational invariance. This leads to an ambiguity in the definition of the vacuum state. In…

High Energy Physics - Theory · Physics 2022-06-24 Álvaro Álvarez-Domínguez , Luis J. Garay , David García-Heredia , Mercedes Martín-Benito

Schwinger pair creation in a purely time-dependent electric field can be reduced to an effective quantum mechanical problem using a variety of formalisms. Here we develop an approach based on the Gelfand-Dikii equation for scalar QED, and…

High Energy Physics - Theory · Physics 2022-06-01 Naser Ahmadiniaz , Sang Pyo Kim , Christian Schubert

The oscillator representation is used for the non-perturbative description of vacuum particle creation in a strong time-dependent electric field in the framework of scalar QED. It is shown that the method can be more effective for the…

High Energy Physics - Theory · Physics 2009-11-10 V. N. Pervushin , V. V. Skokov , A. V. Reichel , S. A. Smolyansky , A. V. Prozorkevich

We consider -- within QED(2) -- the backreaction to the Schwinger pair creation in a time dependent, spatially homogeneous electric field. Our focus is the depletion of the external field as a quench and the subsequent long-term evolution…

High Energy Physics - Phenomenology · Physics 2019-06-26 A. Otto , D. Graeveling , B. Kämpfer

The non-perturbative electron-positron pair production in time-dependent electric fields is investigated. The quantum kinetic formalism is employed in order to calculate the electron density for various field configurations. The…

High Energy Physics - Phenomenology · Physics 2012-12-06 Christian Kohlfürst

The pair production of scalar particles in electromagnetic background fields is analyzed using real proper time formulation of 1-loop effective action. After explaining how real proper time formulation keeps unitarity of the particle…

High Energy Physics - Theory · Physics 2023-09-12 Cihan Pazarbaşı