- #1
Jim Kata
- 204
- 10
I'm in a hurry so I'm going to say this quick.
For angular momentum you have
[tex][J_i ,J_j ] = i\hbar \varepsilon _{ijk} J_k [/tex]
and for isospin you have
[tex][t_i,t_j] = ig\varepsilon_{ijk}t_k[/tex]
now, [tex]\hbar[/tex] is viewed as a constant, but [tex]g[/tex] is allowed to change it's value due to renormalization group flow. It seems to me that [tex]\hbar[/tex] can not be a constant then. Where is my reasoning going wrong.
For angular momentum you have
[tex][J_i ,J_j ] = i\hbar \varepsilon _{ijk} J_k [/tex]
and for isospin you have
[tex][t_i,t_j] = ig\varepsilon_{ijk}t_k[/tex]
now, [tex]\hbar[/tex] is viewed as a constant, but [tex]g[/tex] is allowed to change it's value due to renormalization group flow. It seems to me that [tex]\hbar[/tex] can not be a constant then. Where is my reasoning going wrong.