Scale-dependent corrections to Casimir effect

The Casimir force, which attracts to each other two perfectly conducting parallel plates separated by the distance a in vacuum, is one of the blueprints of the reality of vacuum fluctuations. Following the recent conjecture, that quantum fields should be described in terms of the fields depending on the resolution of measurement (M.V. Altaisky, Phys. Rev. D81(2010)125003), we derive the correction to the Casimir energy depending on the ratio of the plate displacement amplitude to the distance between plates. The effects of random environments to the measurement are also discussed.