Abstract
Electromagnetism is based on electric charge and spin. The study here corresponds to understand on spin effects at a vectorial electrodynamics. Its scenario is a non-linear abelian electromagnetism where the electric charge is transmitted through a four bosons quadruplet, constituted by the usual photon, massive photon and charged massive photons. These four bosons intermediate the charge exchange ΔQ = 0, ±1.The spin is introduced at first principles. A spintronics Lagrangian for four vector fields is performed. Considering that spin is a space-time physical entity derived from Lorentz Group, these vector fields are associated to Lorentz Group, as Lie algebra valued. Similarly to non-abelian gauge theories where Aμ≡ Aμ,ata, one introduces the relationship Aμ≡ Aμ,κλΣκλ where (Σκλ)αβ is the Lorentz Group generator. Thus, based on three fundamentals which are light invariance, electric charge conservation law and vector fields Lie algebra valued through Lorentz Group generators, one derives a spin-valued four vectorial electrodynamics. It is given by the fields quadruplet Aμ1 ≡ {Aμ, Uμ, Vμ±} where Aμ means the usual photon, Uμ a massive photon and Vμ± massive charged photons. Two novelties appear. The first one is that, new terms are developed into usual four bosons electromagnetism. They contribute to Lagrangian, equations of motion, Noether theorem. The second one is that the equations of motion derive a renormalizable spin coupling with the electric and magnetic fields.There is a spin-1 electrodynamics to be investigated. A neutral electromagnetism is mandatory to be analyzed. Something beyond dipole, quadrupole and so on. Understand the role of spin in the electrical and magnetic properties of particles. A spin vectorial expression S--> is obtained. It adds EM interactions not depending on electric charge and with spin interactions through electric dipole and magnetic moments.
Highlights
The electromagnetic novelty is that Maxwell macroscopic equations [1] are extended into a microscopic electromagnetism
The development of elementary particle physics introduced three new aspects at electromagnetic behavior. They are the electric charge be ported by particles with different flavors and spins, charge exchange ∆Q = 0, ±1 and spin working as a magnet
At previous works we have developed the so-called Four Bosons Electromagnetism [2]
Summary
The electromagnetic novelty is that Maxwell macroscopic equations [1] are extended into a microscopic electromagnetism. The development of elementary particle physics introduced three new aspects at electromagnetic behavior They are the electric charge be ported by particles with different flavors and spins, charge exchange ∆Q = 0, ±1 and spin working as a magnet. Https://rajpub.com/index.php/jap mass of the electron must have just the intrinsic angular momentum and magnetic moment attributed to them by Goudsmith and Uhlembeck In this way, the concept of spin of the electron becomes well understood and, from the Dirac Equation, the relativistic corrections and the hyperfine structure of the spectral lines of the Hydrogen atom were understood more systematically. The concept of spin of the electron becomes well understood and, from the Dirac Equation, the relativistic corrections and the hyperfine structure of the spectral lines of the Hydrogen atom were understood more systematically There is a vector spin S determined from the spin-valued equations
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