Zeta Function Method for Repulsive Casimir Forces at Finite Temperature

Abstract

We compute the Casimir energy between an unusual pair of parallel plates at finite temperature, namely, a perfectely conducting plate ($ε\to\infty$) and an infinitely permeable one ($μ\to\infty$) by applying the generalized zeta function method. We also compute the Casimir pressure and discuss the high and the low temperature limits.