The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates in the topological background of a sine-Gordon kink is studied. Quantum vacuum oscillations around the sine-Gordon kink solution can be interpreted as a quantum scalar field theory in the spacetime of a domain wall. An extension of the TGTG-formula, firstly discovered by O. Kenneth and I. Klich, to weak curved backgrounds is obtained.
Categories: hep-th math-ph math.MP