Oh I see , I think i got it , but still I don't see how to compute the beta function to get to the form
$$\beta(g)=(d-\Delta)g+\mathcal{O}(g^2)$$
I really appreciate the help :)
The full exercise is :
Show that if the interaction in a QFT is has dimension Δ then there is a classical β...
Homework Statement
I'm working on path integrals for fermions and I came across an exercise that ask to compute the three point functions , one of that is the:
$$<0|J^{\mu}(x_1)J^{\nu}(x_2)J^{\rho}(x_3)|0> $$
where $$J^{\mu}$$ is the current $$J^{\mu}=\bar{\psi}\gamma^{\mu}\psi$$.
***Can you...
The problem statement.
When an exercises say " the interaction in a QFT has dimensions Δ" , what does it mean?, it means the field or the Lagrangian has this mass dimension?
In this exercise I'm trying to find the classical beta function (β-function) for the assciated couling.