Gauge Invariance for Classical Massless Particles with Spin

Foundations of Physics 51 (1):1-14 (2021)
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Abstract
Wigner’s quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper. We study the compactness properties of the resulting phase spaces at fixed energy, and show that in order for a classical massless particle to be physically sensible, its phase space must feature a classical-particle counterpart of electromagnetic gauge invariance. By examining the connection between massless and massive particles in the massless limit, we also derive a classical-particle version of the Higgs mechanism.
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BARGIF-2
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First archival date: 2020-09-07
Latest version: 2 (2021-02-04)
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2020-09-07

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