Abstract
Anomalous quantization of the electromagnetic field allows non-trivial (anti) self-dual configurations to exist in four-dimensional Euclidian space-time. These instanton-like objects are described as massless spinor particles.
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References
J.-L. Gervais and B. Sakita: “Extended particles in quantum field theories”, Phys. Rev. D, Vol. 11, (1975), pp. 2943–2945.
J. Goldstone and R. Jackiw: “Quantization of nonlinear waves”, Phys. Rev. D, Vol. 11, (1975), pp. 1486–1498.
E. Tomboulis: “Canonical quantization of nonlinear waves”, Phys. Rev. D, Vol. 12, (1975), pp. 1678–1683.
D.Ts. Stoyanov: “On the connection between spin and statistics for the massless spinor field”, J. Phys. A-Math. Gen., Vol. 25, (1992), pp. 4245–4252.
R. Jackiw and C. Rebbi: “Solitons with fermion number 1/2”, Phys. Rev. D, Vol. 13, (1976), pp. 3398–3409.
P. Hasenfratz and G.’ t Hooft: “Fermion-Boson puzzle in a gauge theory”, Phys. Rev. Lett., Vol. 36, (1976), pp. 1119–1122.
A. Goldhaber: “Connection of spin and statistics for charge-monopole composites”, Phys. Rev. Lett., Vol. 36, (1976), pp. 1122–1125.
D.Ts. Stoyanov: “Quaternion analyticity and Maxwell equations”, In: Tch. Palev (Ed.): Theoretic and High Energy Physics, BAS press, Sofia, 1988, pp. 63–71.
Y.Q. Gu: “Canonical Form of Field Equations”, Preprint: arXiv:hep-th/0610189 and references therein.
P.A.M. Dirac: “Quantized singularities in the Electromagnetic field”, Proc. Roy. Soc. A, Vol. 133, (1931), pp. 60–72.
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Stoilov, M.N. Fermions as U(1) instantons. centr.eur.j.phys. 5, 507–515 (2007). https://doi.org/10.2478/s11534-007-0034-5
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DOI: https://doi.org/10.2478/s11534-007-0034-5