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--- advanced_tools:group_theory:su3 [2020/12/26 22:45]
edi [Concrete]
+++ advanced_tools:group_theory:su3 [2023/04/17 03:20] (current)
edi [Intuitive]
@@ Line 2: / Line 2: @@
 <tabbox Intuitive>
+The Lie group $SU(3)$ describes abstract "rotations" in a space with three complex dimensions. A "rotation" is characterized by eight abstract "angles" or parameters.
-<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>
 **Representations**
@@ Line 14: / Line 11: @@
 [{{ :advanced_tools:group_theory:representation_theory:su3_adjoint.jpg?nolink }}]
-For more groups and their representations see [[https://esackinger.wordpress.com/|Fun with Symmetry]].
+For more groups and their representations see [[https://esackinger.wordpress.com/blog/lie-groups-and-their-representations/|Fun with Symmetry]].
 <tabbox Abstract>
@@ Line 22: / Line 19: @@
 </note>
 <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.