Zitterbewegung in quantum field theory

Wang, Zhiyong; Xiong, Cai-Dong

doi:10.1088/1674-1056/17/11/035

Cited by 16 publications

(11 citation statements)

References 18 publications

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“…ZB persists when the Dirac field is quantized [30], showing that it is not an artifact of the single particle theory. Upon quantization ψ is reinterpreted as the field operator ψ in Fock space, and the operator property of ψ is borne by the creation and annihilation operators.…”

Section: Interaction Of a Free Electron With The Zero Point En-ergymentioning

confidence: 95%

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Zitterbewegung and the Magnetic Moment of the Electron

Davis¹

2013

Preprint

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Zitterbewegung of a Dirac electron is an oscillation between positive and negative energy states, and is thus distinct from the analogous phenomena exhibited by spin half charged particles in electric and magnetic fields. Quantum field theory offers an insight into the velocity operator and provides an interpretation of zitterbewegung. Applying stationary perturbation theory to these results the electron g factor is obtained analytically up to the Schwinger correction (g = 2 + α/π).

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Section: Interaction Of a Free Electron With The Zero Point En-ergymentioning

confidence: 95%

“…There are two such terms, and each of them is expressible as a current equation [30]. One of them represents the transverse ZB current:…”

Section: Interaction Of a Free Electron With The Zero Point En-ergymentioning

confidence: 99%

Zitterbewegung and the Magnetic Moment of the Electron

Davis¹

2013

Preprint

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“…This is an oscillatory term of frequency 2H/ . This appears to be a zitterbewegung motion of the electron mass, in the direction of the momentum, which could be called "longitudinal zitterbewegung" [32]. But this is qualitatively different from the zitterbewegung of the electron charge, for the following reasons.…”

Section: Zitterbewegung Of Entangled Electron-positron Pairmentioning

confidence: 97%

“…Xiong [32]. According to this field theoretical model, the physical electron annihilates the virtual positron, thereby making the virtual electron real.…”

Section: Electron Velocity and Electron Chargementioning

confidence: 99%

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Zitterbewegung and the Charge of an Electron

Davis

2020

Preprint

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Dirac's Relativistic Wave Equation implies a measured electron velocity of ±c in any direction, in contradiction to Special Relativity and observation. It is shown in this article that this anomalous electron velocity reveals an internal structure of the electron whereby the mass and the charge of the electron cannot be described by the same position operator. The measured velocity of electron mass is always less than c in any direction but charge can be displaced at the speed of light. This speed is realizable only when the electron is in a state that is a superposition of positive and negative energy states, also known as a zitterbewegung state. It is shown that in zitterbewegung it is the charge and not the mass that undergoes rapid spatial oscillation, and that there are measurable consequences of this charge zitterbewegung. Zitterbewegung of charge also occurs in an entangled electron-positron pair created by a strong electric field.

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Ground State Quantum Vortex Proton Model

et al. 2023

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A novel photon-based proton model is developed. A proton's ground state is assumed to be coherent to the degree that all of its mass-energy precipitates into a single uncharged spherical structure. A quantum vortex, initiated by the strong nuclear force, but sustained in the proton's ground state by the circular Unruh effect and a spherical Rindler horizon, is proposed to confine the proton's massenergy in its ground state. A direct connection between the circular Unruh effect, the zitterbewegung effect, spin, and general relativity is proposed. Such a structure acts as an uncharged zitterbewegung fermion, and may explain neutrino mass. A ground-state proton's central zitterbewegung fermion is assumed to be surrounded by a halo of charge shells of both signs. Virtual photon standing waves are assumed to synchronize the inner shell with the central zitterbewegung fermion. The charge shells are proposed to be associated with isospin and proton g-factor. There are only two model inputs-proton mass and quantized electronic charge-and just one adjustable parameter. The adjustable parameter, reduced only by about 0.4% from an initial estimate, provides the proton's experimentally determined magnetic moment to arbitrary precision. The resulting modeled proton charge radius agrees very well with the 2018 CODATA value. Magnetic moment and charge radius are calculated algebraically in a manner easily understood by undergraduate physics students. This proposed ground-state proton model could be falsified by future experimental proton charge radius estimates, and could be considered a low-energy approximation to a full quantum chromodynamical proton model.

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Zitterbewegung in quantum field theory

Cited by 16 publications

References 18 publications

Zitterbewegung and the Magnetic Moment of the Electron

Zitterbewegung and the Magnetic Moment of the Electron

Zitterbewegung and the Charge of an Electron

Ground State Quantum Vortex Proton Model

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