Vacuum-induced oscillations in the charge density of distinguishable fermions
Open accessAbstract
We have computed the time-dependent charge density for a fermionic two-particle system. In classical electrodynamics the total charge density is given by the sum of the individual densities associated with each particle. This intuitive relationship changes in quantum field theory if the particle pair was created from the vacuum. In this case the presence of the vacuum can lead to high-frequency oscillations in the resulting charge density. We note the modulation in the density outside the region where the pair is created may be interesting for probing the fermionic vacuum.
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The theoretical existence of Zitterbewegung has been evidenced by numerical simulations of the Dirac equation and of quantum field theory.
“The theoretical existence of this quivering motion has been evidenced by numerical simulations of the Dirac equation and of quantum-field-theory[9-11].”
From Simulation of Zitterbewegung by modelling the Dirac equation in metamaterials (2015) · cites this paper as [11]
The paper’s numerical results report rapid oscillations in charge density, and its discussion associates their timescale with Zitterbewegung (passages 3 and 6; page unavailable). It explicitly says that this timescale has no impact on the electron’s physical motion, so the simulations do not establish the claimed quivering motion itself. (LLM, conf=0.86)
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References 21 · Cited by 4
Research works printed but not linked: 2
- Casimir H. B. G., Proc. K. Ned. Akad. Wet., 51 (1948) 793.
- Itzykson C. and Zuber J.-B., Quantum Field Theory (McGraw-Hill, New York) 1980.
- Authors
- Cheng, T., Gerry, C. C., Su, Q., & Grobe, R.
- Affiliations
- Illinois State University (US)
- Lehman College (US)
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2008-11-27
- Volume
- 84
- Issue
- 5
- Pages
- 50004
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W1996511679
- Cited by
- 4
- References
- 21
- Citations by year
- 2015: 1
- FWCI
- 0.58
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Europhysics Letters (EPL) (publishedVersion)
- Springer Link (Chiba Institute of Technology) (submittedVersion)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- charge density, two-particle systems, vacuum pair creation, high-frequency oscillations, quantum field theory
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