Monte-Carlo calculation of the lateral Casimir forces between rectangular gratings within the formalism of lattice quantum field theory

摘要

We propose a new Monte-Carlo method for calculation of the Casimir forces.Our method is based on the formalism of noncompact lattice quantumelectrodynamics. This approach has been tested in the simplest case of twoideal conducting planes. After this the method has been applied to thecalculation of the lateral Casimir forces between two ideal conductingrectangular gratings. We compare our calculations with the results of PFA and"Optimal" PFA methods.