Scaling / engineering dimensions for these interacting fields?

1. Nov 19, 2014

Hi guys,

So I have the following Lagrangian:

$\mathcal{L}=\bar{\psi}(i\partial_{\mu}\gamma^{\mu}-m)\psi+\frac{1}{2}(\partial_{\mu}\phi)(\partial^{\mu}\phi)-\frac{M^{2}}{2}\phi^{2}-\lambda\bar{\psi}\psi\phi$

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 $\lambda$ and both fields?

2. Nov 24, 2014