Can Elementary Particles be related with irreducible representation?

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Discussion Overview

The discussion revolves around the relationship between elementary particles and irreducible representations in the context of particle physics. Participants explore concepts related to classification, including scalar, vector, and spinor representations, as well as the implications of internal symmetries.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions whether elementary particles can be related to irreducible representations, specifically asking if scalar, vector, and spinor can be considered irreducible representations of SO(3).
  • Another participant emphasizes the importance of considering internal symmetry in addition to Poincaré symmetry for classification.
  • A participant raises a question regarding the classification differences between bosons and fermions.
  • Links to external resources are provided by participants to support further exploration of the topic.

Areas of Agreement / Disagreement

There is no clear consensus among participants, as questions and differing perspectives on classification and symmetry remain unresolved.

Contextual Notes

Participants note that the discussion is dependent on various definitions and may involve unresolved mathematical steps related to the classification of particles.

Clandestine M
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Hi,

I am quite naive in Particle Physics, and I have a question that

Can Elementary Particles be related with irreducible representation?


Could we say scalar, vector, and spinor are irreducible representation of SO(3)?


Thanks a lot! I also wish I could have some reference on this topic.
 
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Thanks a lot! Internal symmetry should also be considered. In the beginning part of this article, only Poincare' Symmetry for classification has been mentioned.
 
And the difference of classification of Boson and Fermion?
 
... always bearing in mind that wikipedia should be treated only as a starting point for further searches.
From the links provided you should be able to find the rest that you are looking for.
 

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