Interplay between geometry and temperature for inclined Casimir plates

We provide further evidence for the nontrivial interplay between geometry and temperature in the Casimir effect. We investigate the temperature dependence of the Casimir force between an inclined semi-infinite plate above an infinite plate in D dimensions using the worldline formalism. Whereas the high-temperature behavior is always found to be linear in T in accordance with dimensional-reduction arguments, different power-law behaviors at small temperatures emerge. Unlike the case of infinite parallel plates, which shows the well-known T^D behavior of the force, we find a T^D-1 behavior for inclined plates, and a ∼T^D-0.3 behavior for the edge effect in the limit where the plates become parallel. The strongest temperature dependence ∼T^D-2 occurs for the Casimir torque of inclined plates. Numerical as well as analytical worldline results are presented.