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jinbaw
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what is a singlet under SU(3)?
jinbaw said:Okay, that explains a singlet. Thanks.
But what I still can't get is how we know that it is 1 + 8. For example i need to find what 3 x 3 x 3 is. How can I do that?
A singlet under SU(3) refers to a representation of the special unitary group SU(3) that transforms as a single unit under the group's symmetry operations. In simpler terms, it is a specific type of mathematical object used to describe the behavior of particles in quantum physics.
SU(3) is a special unitary group that consists of 3x3 unitary matrices with determinant 1. It is a fundamental symmetry group in quantum physics and is used to describe the strong nuclear force between particles.
A singlet under SU(3) is unique because it transforms as a single unit, while other representations may transform as a combination of multiple units. This makes it a simpler and more fundamental representation in describing the behavior of particles.
Examples of singlets under SU(3) include the flavor singlets of quarks and leptons. These are particles that do not participate in strong interactions and are therefore unaffected by the strong nuclear force.
Understanding singlets under SU(3) is important in physics because it helps us better understand the fundamental forces and interactions between particles. It also plays a crucial role in our understanding of the structure and behavior of matter at the subatomic level.