  The possibility of the existence of small correction terms to the canonical
commutation relations and the uncertainty relations has recently found renewed
interest. In particular, such correction terms could induce finite lower bounds
$\Delta x_0, \Delta p_0$ to the resolution of distances and/or momenta. I
review a general framework for the path integral formulation of quantum field
theories on such generalised geometries, and focus then on the mechanisms by
which $\Delta p_0>0$, and/or $\Delta x_0>0$ lead to IR and/or UV
regularisation.
