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There exists a clear physical motivation for theoretical studies of the vacuum instability related to the production of electron-positron pairs from a vacuum due to strong external electric fields. Various nonperturbative (with respect to…

High Energy Physics - Theory · Physics 2019-06-26 S. P. Gavrilov , D. M. Gitman , A. A. Shishmarev

Basic quantum processes (such as particle creation, reflection, and transmission on the corresponding Klein steps) caused by inverse-square electric fields are calculated. These results represent a new example of exact nonperturbative…

High Energy Physics - Theory · Physics 2020-02-12 T. C. Adorno , S. P. Gavrilov , D. M. Gitman

We present a new exactly solvable case in strong-field QED with one-dimensional step potential (x-step). The corresponding x-step is given by an analytic asymmetric with respect to the axis x reflection function. The step can be considered…

High Energy Physics - Theory · Physics 2024-08-27 A. I. Breev , S. P. Gavrilov , D. M. Gitman

A new exactly solvable case in strong-field quantum electrodynamics with a time-dependent external electric field is presented. The corresponding field is given by an analytic function, which is asymmetric (in contrast to Sauter-like…

High Energy Physics - Theory · Physics 2021-10-13 A. I. Breev , S. P. Gavrilov , D. M. Gitman , A. A. Shishmarev

In this paper, we present in detail consistent QED (and scalar QED) calculations of particle creation effects in external electromagnetic field that correspond to three most important exactly solvable cases of t-electric potential steps:…

High Energy Physics - Theory · Physics 2017-06-21 T. C. Adorno , S. P. Gavrilov , D. M. Gitman

We have obtained nonperturbative one-loop expressions for the mean energy-momentum tensor and current density of Dirac's field on a constant electric-like background. One of the goals of this calculation is to give a consistent description…

High Energy Physics - Theory · Physics 2012-07-03 S. P. Gavrilov , D. M. Gitman

Self-energy and vacuum polarization effects in quantum electrodynamics (QED) are calculated for the supercritical Coulomb field, where Dirac energy levels become embedded in the negative-energy continuum. In this regime, the quantum vacuum…

Atomic Physics · Physics 2024-09-16 V. A. Zaytsev , V. A. Yerokhin , C. H. Keitel , N. S. Oreshkina

Particle scattering and vacuum instability in a constant inhomogeneous electric field of particular peak configuration that consists of two (exponentially increasing and exponentially decreasing) independent parts are studied. It presents a…

High Energy Physics - Theory · Physics 2017-11-22 S. P. Gavrilov , D. M. Gitman , A. A. Shishmarev

The evolution of the vacuum state in a time-dependent external electric field of arbitrary polarization is investigated within a nonperturbative framework of quantum kinetic equations (QKEs). In our previous work [Phys. Rev. Res. 6, 043009…

High Energy Physics - Phenomenology · Physics 2026-02-03 I. A. Aleksandrov , V. A. Bokhan , A. I. Baksheev , A. Kudlis

A QED-based mechanism, breaking translational invariance of the vacuum at sufficiently small distance scales, is suggested as an explanation for the vacuum energy pressure that accelerates the universe. Very-small-scale virtual vacuum…

High Energy Physics - Theory · Physics 2007-05-23 H. M. Fried

We carry out a Dirac sea reinterpretation of a discretized version of the Hamiltonian of quantum electrodynamics (QED), and analyze the perturbed vacuum in the continuum limit. We argue that if certain operators can be shown to be the…

General Physics · Physics 2025-01-22 Mads J. Damgaard

We study statistical properties of states of massive quantized charged Dirac and Klein-Gordon fields interacting with a background that violates the vacuum stability, first in general terms and then for a special electromagnetic background.…

High Energy Physics - Theory · Physics 2015-05-20 S. P. Gavrilov , D. M. Gitman , A. A. Shishmarev

Our previous results on the nonperturbative calculations of the mean current and of the energy-momentum tensor in QED with the T-constant electric field are generalized to arbitrary dimensions. The renormalized mean values are found; the…

High Energy Physics - Theory · Physics 2012-12-24 S. P. Gavrilov , D. M. Gitman , N. Yokomizo

We study neutral Fermions pair creation with anomalous magnetic moment from the vacuum by time-independent magnetic-field inhomogeneity as an external background. We show that the problem is technically reduced to the problem of…

High Energy Physics - Theory · Physics 2021-12-14 T. C. Adorno , Zi-Wang He , S. P. Gavrilov , D. M. Gitman

Quantum electrodynamics in three spacetime dimensions, with one massless fermion species, is studied using a non-perturbative variational approach. Quantization of the theory follows Dirac's Hamiltonian procedure, with a gauge invariant…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts

We advance a novel method for the finite-temperature effective action for nonequilibrium quantum fields and find the QED effective action in time-dependent electric fields, where charged pairs evolve out of equilibrium. The imaginary part…

High Energy Physics - Theory · Physics 2014-11-21 Sang Pyo Kim , Hyun Kyu Lee , Yongsung Yoon

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

A process-theoretic approach to electrodynamics based on persistent Kac-type stochastic processes is developed. Finite-velocity stochastic propagation is taken as primary, while relativistic wave equations arise as emergent descriptions…

Quantum Physics · Physics 2026-05-26 Partha Ghose

We analyze vacuum instability of strongly coupled gauge theories in a constant electric field using AdS/CFT correspondence. The model is the N=2 1-flavor supersymmetric large N_c QCD in the strong 't Hooft coupling limit. We calculate the…

High Energy Physics - Theory · Physics 2013-10-29 Koji Hashimoto , Takashi Oka

We study particles creation in arbitrary space-time dimensions by external electric fields, in particular, by fields, which are acting for a finite time. The time and dimensional analysis of the vacuum instability is presented. It is shown…

High Energy Physics - Theory · Physics 2014-11-18 S. P. Gavrilov , D. M. Gitman
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