  We revisit the calculation of the Casimir effect from the perspective of
scale limited resolutions of quantum fields. We use the continuous wavelet
transform to introduce a scale degree of freedom and then restrict it to
simulate either an observational or fundamental limitation of resolution. The
Casimir force is derived in this setting for a free complex massless scalar
field between two infinite plates with both Dirichlet and periodic boundary
conditions. The dependence of the force on the choice of wavelet and size of
scale cutoff is extensively discussed for several examples of wavelets.

Quantum Physics;High Energy Physics - Theory