184 citations · 911 across the 52 of their papers we have counts for
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Vacuum instability in QED with an asymmetric x-step. New example of exactly solvable case
A. I. Breev, 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…
Calculations of vacuum mean values of spinor field current and energy-momentum tensor in a constant electric background
A. I. Breev, S. P. Gavrilov, D. M. Gitman
In the framework of strong-field QED with -steps, we study vacuum mean values of the current density and energy--momentum tensor of the quantized spinor field placed in the so-c…
Vacuum instability due to the creation of neutral Fermion with anomalous magnetic moment by magnetic-field inhomogeneities
T. C. Adorno, Zi-Wang He, S. P. Gavrilov +1
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…
Vacuum instability in time-dependent electric fields. New example of exactly solvable case
A. I. Breev, S. P. Gavrilov, D. M. Gitman +1
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 func…
Vacuum instability in a constant inhomogeneous electric field. A new example of exact nonperturbative calculations
T. C. Adorno, S. P. Gavrilov, D. M. Gitman
Basic quantum processes (such as particle creation, reflection, and transmission on the corresponding Klein steps) caused by inverse-square electric fields are calculated. These re…
In- and out-states of scalar particles confined between two capacitor plates
A. I. Breev, S. P. Gavrilov, D. M. Gitman
In the present article, using a non-commutative integration method of linear differential equations, we, considering the Klein-Gordon equation with the -constant electric field…
Regularization, renormalization and consistency conditions in QED with x-electric potential steps
S. P. Gavrilov, D. M. Gitman
The present article is an important addition to the nonperturbative formulation of QED with x-steps presented by Gavrilov and Gitman in Phys. Rev. D. 93, 045002 (2016). Here we pro…
Spinor field singular functions in QED with strong external backgrounds
A. I. Breev, S. P. Gavrilov, D. M. Gitman
We construct and study singular functions in strong-field with two external electromagnetic fields that represent principally different types of external backgrounds, the fir…
Pair production from the vacuum by a weakly inhomogeneous space-dependent electric potential step
S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev
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…
States of charged quantum fields and their statistical properties in the presence of critical potential steps
S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev
Evolution of charged quantum fields under the action of constant nonuniform electric fields is studied. To this end we construct a special generating functional for density operato…
Violation of vacuum stability by inverse square electric fields
T. C. Adorno, S. P. Gavrilov, D. M. Gitman
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 exa…
Role of switching-on and -off effects in the vacuum instability
T. C. Adorno, R. Ferreira, S. P. Gavrilov +1
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 fin…
Particle scattering and vacuum instability by exponential steps
S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev
Particle scattering and vacuum instability in a constant inhomogeneous electric field of particular peak configuration that consists of two (exponentially increasing and exponentia…
Vacuum instability in slowly varying electric fields
S. P. Gavrilov, D. M. Gitman
Nonperturbative methods have been well-developed for QED with the so-called t-electric potential steps. In this case a calculation technique is based on the existence of specific e…
Particle creation by peak electric field
T. C. Adorno, S. P. Gavrilov, D. M. Gitman
The particle creation by the so-called peak electric field is considered. The latter field is a combination of two exponential parts, one exponentially increasing and another expon…
Unitarity and vacuum deformation in QED with critical potential steps
S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev
The present article can be considered as a complement to the work P.R.D 93, 045002 (2016) where an nonperturbative approach to QED with x-electric critical potential steps was deve…
Exactly solvable cases in QED with t-electric potential steps
T. C. Adorno, S. P. Gavrilov, D. M. Gitman
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 import…
Scattering and pair creation by a constant electric field between two capacitor plates
S. P. Gavrilov, D. M. Gitman
Using the quantum field theory approach developed in Phys. Rev. D. 93, 045002 (2016), we consider particle scattering and vacuum instability in the so-called L-constant electric fi…
Quantization of charged fields in the presence of critical potential steps
S. P. Gavrilov, D. M. Gitman
QFT approaches elaborated for treating quantum effects in time-dependent external electric fields are not directly applicable to time-independent nonuniform electric fields that ar…
Statistical properties of states in QED with unstable vacuum
S. P. Gavrilov, D. M. Gitman, A. A. Shishmarev
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 gene…
Particle creation from the vacuum by an exponentially decreasing electric field
T. C. Adorno, S. P. Gavrilov, D. M. Gitman
We analyze the creation of fermions and bosons from the vacuum by the exponentially decreasing in time electric field in detail. In our calculations we use QED and follow in main t…
Creation of neutral fermions with anomalous magnetic moments from a vacuum by inhomogeneous magnetic field
S. P. Gavrilov, D. M. Gitman
A consistent nonperturbative approach (based on QFT) to neutral fermion creation (due to their magnetic moments) in strong inhomogeneous magnetic fields is considered. It is demons…
Dirac fermions in strong electric field and quantum transport in graphene
S. P. Gavrilov, D. M. Gitman, N. Yokomizo
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 arbitrar…
Creation of neutral fermions with anomalous magnetic moment from vacuum by inhomogeneous magnetic field
S. P. Gavrilov, D. M. Gitman
Until now a consistent description (based on QFT) of neutral particle creation (due to their magnetic moments) in strong inhomogeneous magnetic fields was unknown. To provide such…