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Lorentz Generators for the Maxwell Field and Gauge Fixing

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Debierre,  V.
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Citation

Debierre, V. (2019). Lorentz Generators for the Maxwell Field and Gauge Fixing. Communications in Theoretical Physics, 71(4), 403-409. doi:10.1088/0253-6102/71/4/403.


Cite as: http://hdl.handle.net/21.11116/0000-0005-4C61-9
Abstract
We propose a direct derivation of the Lorentz generators for the four potential of electrodynamics on the basis of Wigner's theorem. The derivation relies on a study of the behaviour of polarisation vectors under k-space differentiation. The Coulomb and Lorenz gauges are discussed in that respect, and gauge invariance under Poincare transformations is examined. The Poincare generators given by Bialynicki-Birula and Bialynicka-Birula are found to correspond to the Coulomb gauge case.