- #1
Dixanadu
- 254
- 2
Hi guys,
So I have the following Lagrangian:
[itex]\mathcal{L}=\bar{\psi}(i\partial_{\mu}\gamma^{\mu}-m)\psi+\frac{1}{2}(\partial_{\mu}\phi)(\partial^{\mu}\phi)-\frac{M^{2}}{2}\phi^{2}-\lambda\bar{\psi}\psi\phi[/itex]
where m is the is the mass of the spin-half Dirac field and M is the mass of the spin-0 field.
I was wondering: how do I find the scaling/engineering dimensions for the [itex]\lambda[/itex] and both fields?
So I have the following Lagrangian:
[itex]\mathcal{L}=\bar{\psi}(i\partial_{\mu}\gamma^{\mu}-m)\psi+\frac{1}{2}(\partial_{\mu}\phi)(\partial^{\mu}\phi)-\frac{M^{2}}{2}\phi^{2}-\lambda\bar{\psi}\psi\phi[/itex]
where m is the is the mass of the spin-half Dirac field and M is the mass of the spin-0 field.
I was wondering: how do I find the scaling/engineering dimensions for the [itex]\lambda[/itex] and both fields?