User Tools

Site Tools


advanced_tools:group_theory:su3

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
advanced_tools:group_theory:su3 [2020/12/26 23:01]
edi [Intuitive]
advanced_tools:group_theory:su3 [2023/04/17 03:20]
edi [Intuitive]
Line 2: Line 2:
  
 <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"​. ​+The Lie group $SU(3)$ describes abstract "​rotations"​ in a space with three complex dimensions. ​"​rotation"​ is characterized by eight abstract "​angles" ​or parameters.
    
 <tabbox Concrete> ​ <tabbox Concrete> ​
Line 11: Line 11:
 [{{ :​advanced_tools:​group_theory:​representation_theory:​su3_adjoint.jpg?​nolink }}] [{{ :​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> ​ <tabbox Abstract> ​
Line 19: Line 19:
 </​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