Abstract

This paper studies the production of charged particles from the vacuum by a strong electric field and vibrating plates. The author shows that the Schwinger mechanism by the strong electric field and the dynamical Casimir effect by the vibrating plates assist with each other and enhance the production number.

Highlights

  • According to the quantum field theory, our vacuum is by no means a simple empty space, but should be regarded as a sort of matter, in which virtual particles are ceaselessly created and annihilated

  • II, we derive a general formula for the particle production number in the presence of both vibrating plates and a strong electric field based on the perturbation theory in the Furry picture

  • We show that the dynamical Casimir effect by the vibrating plates assists the Schwinger mechanism by the strong electric field and vice versa, which results in an enhancement of the production number by orders of the magnitude

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Summary

INTRODUCTION

According to the quantum field theory, our vacuum is by no means a simple empty space, but should be regarded as a sort of matter, in which virtual particles are ceaselessly created and annihilated. This observation implies that a similar enhancement mechanism may occur with a fast weak electromagnetic field and with other kinds of forces/fields involving parametric particle production Another example of the particle production from the vacuum is the dynamical Casimir effect This paper is organized as follows: In Sec. II, we derive a general formula for the particle production number in the presence of both vibrating plates and a strong electric field based on the perturbation theory in the Furry picture. We show that the dynamical Casimir effect by the vibrating plates assists the Schwinger mechanism by the strong electric field and vice versa, which results in an enhancement of the production number by orders of the magnitude.

GENERAL FORMULA
Production number within the perturbation theory in the
CONSTANT AND HOMOGENEOUS ELECTRIC FIELD
Slow vibration: the Schwinger mechanism
Fast vibration: the dynamical Casimir effect
The dynamical assistance
L0 dependence
E dependence
SUMMARY AND DISCUSSION
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