The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted

TL;DR

This paper investigates how Horava-Lifshitz modifications influence the Casimir effect at finite temperature, revealing constraints on the HL exponent and showing temperature effects weaken the Casimir force, aligning with known physics.

Contribution

It demonstrates that the HL exponent cannot be an integer without nullifying the Casimir force and shows how temperature alters the force, providing a revised understanding within HL theory.

Findings

HL exponent cannot be an integer or Casimir energy becomes constant

Higher temperature weakens the attractive Casimir force

Proper HL factor selection aligns results with standard Casimir force

Abstract

We proceed with the study of the Casimir force for parallel plates at finite temperature in the Horava-Lifshitz (HL) theory. We find that the HL exponent can not 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 makes the attractive Casimir force weaker, which is consistent with the original consequence confirmed theoretically and experimentally. We can select the HL factor adequately to lead the thermally revised Casimir force to be similar to the standard results for the parallel plates.