Spin effects from Four Bosons EM
DOI:
https://doi.org/10.24297/jap.v21i.9545Keywords:
self interacting photons, potential fields interacting with EM fields, granular and collective fields strengths, new Faraday lines, nonlinear electrodynamicsAbstract
Electromagnetism is the theory of electric charge and spin. Our study is on a spin-valued four bosons electromag- netism. An EM under the charge exchange {+, 0, −} intermediated by four bosons {AμI } ≡ {Aμ, Uμ, V ± μ } where Aμ means the usual photon, Uμ a massive photon, V ± μ charged photons. EM should express electric charge and spin together. Understand from first principles on the spin role in the electric and magnetic properties of particles. Theoretically, the spin is a space-time physical entity derived from Lorentz group. Phenomenologically, it appears as a vectorial entity inserted in the magnetic moment and electric dipole. A theoretical closure between them is expected. A spin-valued four bosons EM is constituted by introducing Lorentz group Lie Algebra valued fields. Consider the quadruplet fields as A I μ = A I μ,κλ(Σκλ)αβ where (Σκλ)αβ is the Lorentz generator. It provides spin as an intrinsec entity compatible with relativity and group theory. Similarly to the non-abelian gauge theory, where Aμa = Aμata, one incorporates the spin valued field through a Lie algebra. From first principles. Electric charge and spin are unified under a constructivist Lagrangian. Spin effects are
studied through equations of motion and Bianchi identities. Enlarging the EM for interactions beyond electric charge. Four types are derived. Usual electric charge interaction, neutral interaction, electric charge and spin, neutral and spin. A formalism is expressed. The spin valued performance is related through a Lagrangian. Spin interactions are derived. The magnetic moment and electric dipole are expressed by vectors S~ and ~s respectivity. They are able to couple spin with granular and collective fields strengths. Developing interacting terms constitutive as B~ · S~, E~ · ~s, ~e · S~ and so on. Faraday interaction between magnetic field and photon is reproduced from first principles.
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References
J.C. Maxwell, On Faraday’s lines of force, Trans. Cambridge Philosoph. Soc., Vol. X, (Part I), 155 (1855); On physical lines of force, Philos. Mag., vol. XXI, 90, (1861); A dynamical theory of the electromagnectic field, Proceedings of the Royal Society of London XIII, 531, (1864), Phylos. Trans. in Royal Soc. of London 155, vol. 459, (1865); A Treatise on Electricity and Magnetism, Oxford: Clarendon Press Series, (1873);
EM spin-1/2: K.A. Olive et al. Review od Particle Physics. Chin. Phys. C 38 (2014); G.W. Bennet et al, improved limit on the muon dipole moment, Phys. Review, D 80, 5 (2009). spin-0: A. Salam, and R.Delbourgo, Renormalizable electrodynamics of scalarand vector mesons. ii, Phys. Rev. 135:B1398-B1427, (1964). spin-1: D. Lee and C.N. Yang, Theory of charged vector mesons interacting with electromagnetic field. Phys. Rev., 128:885-898, (1962); K.H. Tzou, II Nuovo Cimento, 33:286, (1964).
J. Chauca, R. Doria, I. Soares, Four Bosons electromagnetism, JAP, Vol 10 no1 2605 (2015).
R. Doria, and I. Soares, Spin-Valued Four Bosons Electrodynamics, JAP, 19. 93-133 (2021).
J. D. Kraus, & D. A. Fleisch, Eletromagnetismo. McGraw-Hill, (1991).
Sin-Itiro Tomonaga, "The Story of Spin", Chicago University Press, (1998).
A. Compton, The magnetic electron, Jour. Franklin Inst. 192:2, 145, (1921); O. Stern, & W. Gerlach, Experimental proof of the existence of external space-quantization, Zeitschrift für Physik, 9(1), 349-352. (1922); S. Goudsmith and R. Kronig 13, 90 (1925); S. Goudsmith & G.E. Uhlenbeck, Physica (Utrecht) 5, 266(1925); S. Goudsmit and G. Uhlenbeck, Spinning electrons electrons and the structure of spectra, Nature 117, 264 (1926); G.E. Uhlenbeck, Physics today, June, p.43, (1976).
W. Heisenberg & P. Jordan, Anwendung Der Quantenmechanik Auf Das problem Der anomalen ZeemaneffektKraus, J. D., & Fleisch, D. A. (1991). Eletromagnetismo. McGraw-Hill.e, Zeit für Physik 37, 263 (1926.)
W. Pauli, Zer Quaternechanik des magnetischen Elektrons, Zeitschrift für Physik 43, 601 (1926).
P.A.M Dirac, The quantum theory of the electron-I, Proc. Roy. Soc. Lond. A 117, 610 (1928); The quantum theory of the electron-II, Proc. Roy. Soc. Lond. A 118, 351 (1928).
P. Kush and H. Foly, The magnetic moment of the electron, Phys. Review, 74 (3): 250, (1948).
J. Schwinger, On Quantum-Electrodynamics and the Magnetic Moment of the Electron. Physical Review, 73(4), 416-417, (1948) [teoria]; G. W. Bennett et al. (Muon g-2 Collaboration) Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL. Physical Review D, 73(7), 072003, (2006) [experimento].
S. Ferrara, M. Porrati and V. Teledgi, Phys. Rev. D46, 3529 (1992).
E. P. Wigner, Group Theory and its Application to the Quantum Mechanics of Atomic Spectra. Academic Press, (1939).
R. Doria, J.A. Helayel Neto, L.S. Mendes, in preparation, 2023.
Ambjørn, J., and P. Olesen. "Electroweak magnetism, W-codensation and antiscreening." Proc. of 4th Hellenic School on Elementary Particle Physics, Corfu (1992); H. Perez Rojas, & L. Villegas-Lelovski, Bose-Einstein condensation in a constant magnetic field. Brazilian Journal of Physics, 30, 410-418, (2000); M. J. Neves, L. P. Ospedal, J. A. Helayël-Neto, & P. Gaete, Considerations on anomalous photon and Z-boson self-couplings from the Born–Infeld weak hypercharge action. The European Physical Journal C, 82(4), 327, (2022).
R. Doria, L.S. Mendes, Four-Four Maxwell equations, Modern Physics Letters A, (2023).
M. Faraday, On the magnetic relations and characters of the metals. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 27(177), 1-3, (1845).
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