- #1
Neutrinos02
- 43
- 0
Hello,
I need some help to find the correct symmetrized Lagrangian for the field operators. After some work I guess that
$$\mathcal{L} = i[\overline{\psi}_a,({\partial_\mu}\gamma^\mu \psi)^a] -m[\overline{\psi}_a,\psi^a ]$$
should be the correct Lagrangian but I'm not sure with this.
I'm also interested in the question of reordinger this Lagrangian in such a way that all [itex]\overline{\psi}[/itex] are on the left and all [itex]\psi[/itex] are on the right side. My problem: I don't know how to deal with products like [itex](\partial_\mu \gamma^\mu \psi) \overline{\psi}[/itex]
Thanks for your help.
Neutrino
I need some help to find the correct symmetrized Lagrangian for the field operators. After some work I guess that
$$\mathcal{L} = i[\overline{\psi}_a,({\partial_\mu}\gamma^\mu \psi)^a] -m[\overline{\psi}_a,\psi^a ]$$
should be the correct Lagrangian but I'm not sure with this.
I'm also interested in the question of reordinger this Lagrangian in such a way that all [itex]\overline{\psi}[/itex] are on the left and all [itex]\psi[/itex] are on the right side. My problem: I don't know how to deal with products like [itex](\partial_\mu \gamma^\mu \psi) \overline{\psi}[/itex]
Thanks for your help.
Neutrino