Particle types are identified with unitary irreducible representations of the Poincare group.
Is it true that particle types are identified with unitary irreducible representations of the Poincare group?
Yes. Particle types are standardly identified with unitary irreducible representations of the Poincare group, following Wigner's fundamental classification.
Verdict: SUPPORTED · 3 sources for, 0 against · Last checked
The claim is a standard tenet of relativistic quantum mechanics and quantum field theory (Wigner's classification). Retrieved papers such as [1], [3], and [7] explicitly discuss elementary particles and their description via unitary irreducible representations of the Poincare group.
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Bekaert, X. & Skvortsov, E. (2017). Elementary particles with continuous spin. doi.org. https://doi.org/10.1142/S0217751X17300198
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Low, S. (2006). Reciprocal relativity of noninertial frames: quantum mechanics. doi.org. https://doi.org/10.1088/1751-8113/40/14/015
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Bekaert, X. & Herfray, Y. (2025). BMS Representations for Generic Supermomentum. doi.org. https://doi.org/10.1007/s00220-025-05513-0
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The claim is a standard tenet of relativistic quantum mechanics and quantum field theory (Wigner's classification). Retrieved papers such as [1], [3], and [7] explicitly discuss elementary particles and their description via unitary irreducible representations of the Poincare group.
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