In quantum mechanics, we have the famous uncertainty relation $$\Delta x \Delta p\geq \frac{\hbar}{2}$$ which is a result of the canonical commutation relation $[x,p] = i \hbar$.
Is there are similar relation in quantum field theory? In particular, is there are relation of the form $$\Delta \phi \Delta \Pi \neq 0 ,$$ where $\Pi$ denotes the conjugate momentum? This seems likely since the canonical commutation relation in QFT reads $[\phi(t,x),\Pi(t,y)] = i \hbar \delta (x-y)$. Moreover, if such a relation exists, how is it commonly interpreted?