The Horava–Lifshitz modifications of the Casimir effect at finite temperature revisited

Abstract

AbstractWe investigate the Casimir force for parallel plates at finite temperature in the Horava–Lifshitz (HL) theory. We find that the HL exponent cannot be chosen as an integer, or the Casimir energy will be a constant, and further, the Casimir force between two parallel plates will vanish. The higher temperature causes the attractive Casimir force to weaken, which is consistent with the original results confirmed theoretically and experimentally. We can select the HL factor appropriately to obtain a thermally revised Casimir force similar to the standard results for the parallel plates.