New symmetry properties of pointlike scalar and Dirac particles
Open accessAbstract
New symmetry properties are found for pointlike scalar and Dirac particles (Higgs boson and all leptons) in Riemannian and Riemann-Cartan spacetimes in the presence of electromagnetic interactions. A Hermitian form of the Klein-Gordon equation for a pointlike scalar particle in an arbitrary $n$-dimensional Riemannian (or Riemann-Cartan) spacetime is obtained. New conformal symmetries of initial and Hermitian forms of this equation are ascertained. In the above spacetime, general Hamiltonians in the generalized Feshbach-Villars and Foldy-Wouthuysen representations are derived. The conformal-like transformation conserving these Hamiltonians is found. Corresponding conformal symmetries of a Dirac particle are determined. It is proven that all conformal symmetries remain unchanged by an inclusion of electromagnetic interactions.
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The presented equations perfectly agree with corresponding classical equations describing the momentum and spin dynamics, and the agreement also takes place for a spin-1 particle with MDM and EDM.
“The presented equations perfectly agree with corresponding classical equations describing the momentum and spin dynamics [12,90]. The agreement takes also place for a spin-1 particle with MDM and EDM [12,32].”
From <i>Zitterbewegung</i> of massless particles (2022) · cites this paper as [32]
The Introduction (p. 2) says the Foldy–Wouthuysen representation is useful for finding a classical limit, but does not report agreement between momentum and spin-dynamics equations. The Summary (p. 12) addresses symmetry properties of spin-0 and spin-1/2 particles, not the claimed spin-1 result. Searches for classical momentum and spin dynamics and for a spin-1 particle with MDM and EDM found no passage addressing either claimed agreement. (LLM, conf=0.76)
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Research works printed but not linked: 2
- [14]F. W. Hehl, J. Lemke, and E. W. Mielke, Two lectures on fermions and gravity, in: Geometry and Theoretical Physics , Proc. of the Bad Honnef School (12-16 Feb 1990), J. Debrus and A. C. Hirshfeld, eds. (Springer, New York, 1991), pp. 56-140.
- [18]A. J. Silenko, Acta Phys. Polon. B Proc. Suppl. 1 , 87 (2008); Yu. N. Obukhov, A. J. Silenko, and O. V. Teryaev, Phys. Rev. D 80 , 064044 (2009).
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<i>Zitterbewegung</i> of massless particles
Silenko, A. J. (2022) · Physical Review A · doi:10.1103/physreva.105.062211 · Cited by 11 · see citing works
“[15–18] is, in fact, an infinite set of representations.”
BackgroundSelf-citation
- Authors
- Silenko, A. J.
- Affiliations
- Belarusian State University (BY)
- Corresponding author
- Silenko, Alexander J.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2015-03-12
- Volume
- 91
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1971784491
- Cited by
- 15
- References
- 0
- Citations by year
- 2026: 1 · 2025: 1 · 2022: 1 · 2021: 1 · 2020: 2 · 2019: 3 · 2018: 2 · 2017: 1 · 2016: 2 · 2015: 1
- FWCI
- 1.14
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- BSU Digital Library (Belarusian State University) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- Belarusian Republican Foundation for Fundamental Research (Φ14D-007)
- German Ministry for Science and Technology
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- conformal invariance, Klein-Gordon equation, Dirac equation, point particles, Riemann-Cartan spacetime, Riemannian space-time, electromagnetic interaction, Foldy-Wouthuysen representation, conformal mapping, Higgs boson, leptons, n-dimensional spacetime
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