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Duality and helicity: the photon wave function approach

Abstract : The photon wave equation proposed in terms of the Riemann–Silberstein vector is derived from a first-order Dirac/Weyl-type action principle. It is symmetric w.r.t. duality transformations, but the associated Noether quantity vanishes. Replacing the fields by potentials and using instead a quadratic Klein–Gordon-type Lagrangian allows us to recover the double-Chern–Simons expression of conserved helicity and is shown to be equivalent to recently proposed alternative frameworks. Applied to the potential-modified theory the Dirac/Weyl-type approach yields again zero conserved charge, whereas the Klein–Gordon-type approach applied to the original setting yields Lipkin's “zilch”.
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https://hal.archives-ouvertes.fr/hal-01582693
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Submitted on : Wednesday, September 6, 2017 - 1:17:38 PM
Last modification on : Wednesday, August 12, 2020 - 7:49:22 AM

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M. Elbistan, P.A. Horvathy, P. -M. Zhang. Duality and helicity: the photon wave function approach. Phys.Lett.A, 2017, 381, pp.2375-2379. ⟨10.1016/j.physleta.2017.05.042⟩. ⟨hal-01582693⟩

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