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Gauge Invariance for Classical Massless Particles with Spin

Barandes, Jacob A. (2021) Gauge Invariance for Classical Massless Particles with Spin. Foundations of Physics, 51 (1). p. 7.

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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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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Barandes, Jacob A.jacob_barandes@harvard.edu0000-0002-3740-4418
Keywords: gauge theory, particle physics, spin, classical field theory, representation theory, Higgs mechanism
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr. Jacob Barandes
Date Deposited: 29 Jul 2023 20:36
Last Modified: 29 Jul 2023 20:36
Item ID: 22346
Journal or Publication Title: Foundations of Physics
Publisher: Springer
Official URL: https://rdcu.be/ceBFU
DOI or Unique Handle: 10.1007/s10701-021-00415-2
Subjects: Specific Sciences > Physics > Classical Physics
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
Specific Sciences > Physics > Quantum Mechanics
Specific Sciences > Physics > Relativity Theory
Specific Sciences > Physics > Symmetries/Invariances
Date: 1 February 2021
Page Range: p. 7
Volume: 51
Number: 1
URI: https://philsci-archive.pitt.edu/id/eprint/22346

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