Can Elementary Particles be related with irreducible representation?

Click For Summary
Elementary particles can indeed be related to irreducible representations, particularly in the context of symmetry groups like SO(3). Scalar, vector, and spinor fields correspond to different irreducible representations of this group. The discussion highlights the importance of internal symmetries and references the Poincaré symmetry for particle classification. It also touches on the distinction between bosons and fermions as outlined in the spin-statistics theorem. For further exploration, the provided Wikipedia links serve as a foundational starting point.
Clandestine M
Messages
6
Reaction score
0
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.
 
Physics news on Phys.org
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.
 

Similar threads

Graduate Why Spinors Are Irreducible if Gamma-Traceless: Explained
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad The SO(3) group in Group Theory
  • · Replies 5 ·
Replies
5
Views
3K
High School Fundamental particles and mass quantization
  • · Replies 13 ·
Replies
13
Views
3K
What is an elementary particle?
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Does intrinsic (e.g., spin) imply elementary (irreducible)?
  • · Replies 9 ·
Replies
9
Views
1K
Scalar as one dimensional representation of SO(3)
  • · Replies 7 ·
Replies
7
Views
3K
Adjoint representation of Lorentz group
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Degrees of freedom of elementary particles
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Any good idea how non-abelian gauge symmetries emerge?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad How to derive irreducible representations/tensors?
  • · Replies 22 ·
Replies
22
Views
3K