Scattering and pair creation by a constant electric field between two capacitor plates
arXiv:1511.02915 · doi:10.1103/PhysRevD.93.045033
Abstract
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 field, which is a constant electric field confined between two capacitor plates separated by a finite distance L. We obtain and analyze special sets of stationary solutions of the Dirac and Klein-Gordon equations with the L-constant electric field. Then, we represent probabilities of particle scattering and characteristics of the vacuum instability (related to pair creation) in terms of the introduced solutions. From exact formulas, we derive asymptotic expressions for the differential mean numbers, for the total mean number of created particles, and for the vacuum-to-vacuum transition probability. Using the equivalence principle, we demonstrate that the distributions of particles created by the L-constant electric field and the gravitational field of a black hole have a similar thermal structure.
36 pages, 2 figures, version published by Phys. Rev. D
References in corpus (11)
- The Unruh effect and its applications
- Schwinger mechanism revisited
- The Schwinger mechanism and graphene
- The Schwinger mechanism revisited
- Dynamics of the particle - hole pair creation in graphene
- Dirac fermions in strong electric field and quantum transport in graphene
- Consistency restrictions on maximal electric field strength in QFT
- Probing the quantum vacuum with ultra intense laser pulses
- Particle creation from the vacuum by an exponentially decreasing electric field
- Statistical properties of states in QED with unstable vacuum
- Energy-momentum tensor in thermal strong-field QED with unstable vacuum
Cited by in corpus (19)
- Electron-positron pair production in external electric fields varying both in space and time
- Exactly solvable cases in QED with t-electric potential steps
- Particle scattering and vacuum instability by exponential steps
- Pair production from the vacuum by a weakly inhomogeneous space-dependent electric potential step
- Regularization, renormalization and consistency conditions in QED with x-electric potential steps
- Vacuum instability in a constant inhomogeneous electric field. A new example of exact nonperturbative calculations
- Ground state of a bosonic massive charged particle in the presence of external fields in a Gödel-type spacetime
- Currents of created pairs in strong electric fields
- Vacuum instability due to the creation of neutral Fermion with anomalous magnetic moment by magnetic-field inhomogeneities
- Mutual assistance between the Schwinger mechanism and the dynamical Casimir effect
- Schwinger mechanism of magnon-antimagnon pair production on magnetic field inhomogeneities and the bosonic Klein effect
- States of charged quantum fields and their statistical properties in the presence of critical potential steps
- Unitarity and vacuum deformation in QED with critical potential steps
- Dynamically assisted Klein tunneling in the Furry picture
- Short-distance Schwinger-mechanism and chiral symmetry
- In- and out-states of scalar particles confined between two capacitor plates
- Vacuum instability in QED with an asymmetric x-step. New example of exactly solvable case
- Dynamically assisted pair production in subcritical potential step and particle--anti-particle interpretations
- On the Klein's paradox in the presence of a scalar potential