Particle physics and representation theory | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-28

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Particle_physics_and_representation_theory


00:00:46 1 General picture
00:00:56 1.1 Symmetries of a quantum system
00:09:09 1.2 Ordinary versus projective representations
00:16:06 1.3 The Heisenberg case
00:19:08 2 Poincaré group
00:20:03 3 Other symmetries
00:20:36 4 Lie algebras versus Lie groups
00:23:16 5 Approximate symmetries
00:23:35 5.1 Hypothetical example
00:24:36 5.2 General definition
00:25:11 5.3 Example: isospin symmetry
00:29:20 5.4 Example: flavour symmetry
00:30:17 6 See also



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SUMMARY
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There is a natural connection between particle physics and representation theory, as first noted in the 1930s by Eugene Wigner. It links the properties of elementary particles to the structure of Lie groups and Lie algebras. According to this connection, the different quantum states of an elementary particle give rise to an irreducible representation of the Poincaré group. Moreover, the properties of the various particles, including their spectra, can be related to representations of Lie algebras, corresponding to "approximate symmetries" of the universe.