advanced_tools:group_theory:su3
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advanced_tools:group_theory:su3 [2020/12/26 22:45] edi [Concrete] |
advanced_tools:group_theory:su3 [2021/01/10 00:34] edi [Why is it interesting?] |
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| <tabbox Intuitive> | <tabbox Intuitive> | ||
| - | + | The Lie group $SU(3)$ describes abstract "rotations" in a space with three complex dimensions. Each "rotation" is characterized by eight abstract "angles". | |
| - | <note tip> | + | |
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | + | |
| - | </note> | + | |
| - | | + | |
| <tabbox Concrete> | <tabbox Concrete> | ||
| **Representations** | **Representations** | ||
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| </note> | </note> | ||
| - | <tabbox Why is it interesting?> | + | <tabbox Why is it interesting?> |
| + | $SU(3)$ is at the heart of the so-called "eightfold way", a scheme that organizes the large "zoo" of hadron particles into neat geometrical patterns (octets and decuplets). | ||
| + | |||
| + | $SU(3)$ is also the gauge group of the strong nuclear interaction. It describes how particles with "color charge" (quarks and gluons) interact. | ||
advanced_tools/group_theory/su3.txt · Last modified: 2023/04/17 03:20 by edi
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