Can Elementary Particles be related with irreducible representation?

In summary, the conversation discussed the relationship between elementary particles and irreducible representation in particle physics. The question was raised if scalar, vector, and spinor can be considered as irreducible representations of SO(3). Reference links were shared for further research on the topic, including the consideration of internal symmetry and the classification of Boson and Fermion. It was also mentioned to be cautious when using Wikipedia as a source and to use it as a starting point for further searches.
  • #1
Clandestine M
6
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.
 
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  • #3
Thanks a lot! Internal symmetry should also be considered. In the beginning part of this article, only Poincare' Symmetry for classification has been mentioned.
 
  • #4
And the difference of classification of Boson and Fermion?
 
  • #6
... 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.
 

What are elementary particles?

Elementary particles are the building blocks of matter and energy in the universe. They are the smallest known particles that cannot be broken down into smaller components. Examples of elementary particles include electrons, quarks, and photons.

What is an irreducible representation?

An irreducible representation is a mathematical concept used to describe the behavior of a group of particles or objects. It is a way of representing the symmetry of a system and understanding how it transforms under different operations.

How are elementary particles related to irreducible representations?

Elementary particles can be described using irreducible representations because they have specific symmetries and behaviors that can be mathematically represented. These representations help us understand the fundamental properties and interactions of particles.

Why is it important to study the relationship between elementary particles and irreducible representations?

Studying this relationship can help us understand the underlying structure and behavior of matter and energy in the universe. It can also aid in the development of new theories and technologies, such as quantum computing and particle detectors.

What are some practical applications of understanding the relationship between elementary particles and irreducible representations?

Some practical applications include developing new materials with specific properties, improving medical imaging techniques, and advancing our understanding of the fundamental laws of physics.

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