  We consider a shot-noise field defined on a stationary determinantal point
process on $\mathbb{R}^d$ associated with i.i.d. amplitudes and a bounded
response function, for which we investigate the scaling limits as the intensity
of the point process goes to infinity. Specifically, we show that the
centralized and suitably scaled shot-noise field converges in finite
dimensional distributions to i) a Gaussian random field when the amplitudes
have the finite second moment and ii) an $\alpha$-stable random field when the
amplitudes follow a regularly varying distribution with index $-\alpha$ for
$\alpha\in(1,2)$. We first prove the corresponding results for the shot-noise
field defined on a homogeneous Poisson point process and then extend them to
the one defined on a stationary determinantal point process.
