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The Hartree-Fock approximation of Quantum Electrodynamics provides a rigorous framework for the description of relativistic electrons in external fields. This nonlinear model takes into account the infinitely many virtual electrons of…

Mathematical Physics · Physics 2012-11-21 Julien Sabin

We study exact solutions of Dirac and Klein-Gordon equations and Green functions in d-dimensional QED and in an external electromagnetic field with constant and homogeneous field invariants. The cases of even and odd dimensions are…

High Energy Physics - Theory · Physics 2016-09-06 S. P. Gavrilov , D. M. Gitman , A. E. Goncalves

Electron-positron pair creation by multiphoton absorption in the collision of a relativistic electron with a strong laser beam is calculated within laser-dressed quantum electrodynamics. Total production rates, positron spectra, and…

Atomic Physics · Physics 2014-11-20 Huayu Hu , Carsten Müller , Christoph H. Keitel

We study the pair creation of point-particles and strings in a time-dependent, weak gravitational field. We find that, for massive string states, there are surprising and significant differences between the string and point-particle…

High Energy Physics - Theory · Physics 2013-05-29 Andrew J. Tolley , Daniel H. Wesley

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

We calculate the rate of thermal Schwinger pair production at arbitrary coupling in weak external fields. Our calculations are valid independently of many properties of the charged particles produced, in particular their spin and whether…

High Energy Physics - Theory · Physics 2017-10-11 Oliver Gould , Arttu Rajantie

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

We analyze functional analytic aspects of axiomatic formulations of nonlocal and noncommutative quantum field theories. In particular, we completely clarify the relation between the asymptotic commutativity condition, which ensures the CPT…

High Energy Physics - Theory · Physics 2009-11-11 Michael A. Soloviev

Real-time quantum simulation of quantum field theory in (3+1)D requires large quantum computing resources. With a few-qubit quantum computer, we develop a novel algorithm and experimentally study the Schwinger effect, the electron-positron…

Quantum Physics · Physics 2022-12-28 Bin Xu , Wei Xue

The features of vacuum particle creation in an external classical field are studied for simplest external field models in $3 + 1$ dimensional QED. The investigation is based on a kinetic equation that is a nonperturbative consequence of the…

High Energy Physics - Phenomenology · Physics 2017-04-05 S. A. Smolyansky , A. D. Panferov , D. B. Blaschke , L. Juchnowski , B. Kaempfer , A. Otto

By taking the spin and polarization of the electrons, positrons and photons into account in the strong-field QED processes of nonlinear Compton emission and pair production, we find that the growth rate of QED cascades in ultra-intense…

High Energy Physics - Phenomenology · Physics 2021-06-01 Daniel Seipt , Christopher P. Ridgers , Dario Del Sorbo , Alec G. R. Thomas

We present a relativistic analysis of fermions in an external electric field by non-perturbatively solving the Dirac equation with a static gauge. Different from the magnetic field effect, the fermion wave function in an electric field…

Nuclear Theory · Physics 2026-05-08 Xuan Zhao , Yi Wang , Pengfei Zhuang

A functional partial differential equation is set for the proper graphs generating functional of QED in external electromagnetic fields. This equation leads to the evolution of the proper graphs with the external field amplitude and the…

High Energy Physics - Theory · Physics 2009-11-07 Jean Alexandre

We re-examine various issues surrounding the definition of twisted quantum field theories on flat noncommutative spaces. We propose an interpretation based on nonlocal commutative field redefinitions which clarifies previously observed…

High Energy Physics - Theory · Physics 2008-11-26 Mauro Riccardi , Richard J. Szabo

Momentum distributions of electron-positron pairs created from the vacuum by an oscillating in time electric field are calculated in the framework of quantum field theory. A pronounced enhancement of those distributions is observed as the…

High Energy Physics - Phenomenology · Physics 2019-07-10 K. Krajewska , J. Z. Kamiński

A source term in the quantum Boltzmann equation, which accounts for the spontaneous creation of $e^+e^-$-pairs in external electric fields, is derived from first principles and evaluated numerically. Careful analysis of time scales reveals…

High Energy Physics - Phenomenology · Physics 2009-09-25 Jochen Rau

We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic field in the standard model of non-relativistic QED. We compute the energy functional of product states of the form…

Analysis of PDEs · Mathematics 2022-11-03 Sébastien Breteaux , Jérémy Faupin , Jimmy Payet

We consider the process of electron-positron pair production in the presence of strong electric backgrounds being rapidly switched on and off and examine the total particle yield. For sufficiently sharp field profiles, the particle number…

High Energy Physics - Phenomenology · Physics 2025-01-09 I. A. Aleksandrov , D. G. Sevostyanov , V. M. Shabaev

We study the radiative corrections of the noncommutative QED at the one-loop level. A correction of the magnetic dipole moment due to the noncommutativity are evaluated. As in the ordinary QED, IR divergence is shown to vanish when we…

High Energy Physics - Theory · Physics 2007-05-23 Ki Boum Eom , Sung-Shig Kang , Bum-Hoon Lee , Chanyong Park

The Schwinger mechanism, the production of charged particle-antiparticle pairs in a macroscopic external electric field, is derived for 2+1 dimensional theories. The rate of pair production per unit area for four species of massless…

Mesoscale and Nanoscale Physics · Physics 2009-02-23 Danielle Allor , Thomas D. Cohen , David A. McGady
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