Thaumaturgy

Thaumaturgy (from the Greek words thaumos meaning "miracle" and ergos meaning "work") is the branch of magic (or "magick", for Crowley fans) that is concerned with the production of real-world, "objective" effects, e.g. "miracles".

While many believe that thaumaturgy is distinguished from theurgy, the branch which concerns itself with purely spiritual matters, this is not always the case. Thaumatury deals with producing a desired effect within the material world, but it is not necessarily opposed to or distinct from theurgy in that the material effect produced may simply be a theurgical result caused to emanate downward from the more subtle, spiritual realm into the dense, material sphere. In this way, thaumaturgy may simply be considered as the visual manifestation of theurgy, just as the body is the visual manifestation of the spirit via the mind, as well as its vehicle.

If one is intending to imply that the change produced has no higher effect other than a material effect for the purpose of physical gratification, then it would be more accurate to refer to it as "low magic," in that it lacks any form of higher meaning or significance beyond self gain. High magic would then be used to refer to both theurgy and also thaumaturgy, if this is just a material impression or actualization of spiritual forces or potentials.