CASIMIR ENERGY CALCULATIONS WITHIN THE FORMALISM OF NONCOMPACT LATTICE QED

Abstract

A new method based on the Monte Carlo calculation on the lattice is proposed for studying the Casimir effect in noncompact lattice QED. As a test of our method, we have studied the standard Casimir problem for the two parallel plane surfaces (mirrors) with the oblique boundary conditions. Physically, these boundary conditions may appear in the problem of modeling the thin material film interactions, and can be generated by the additional Chern–Simons boundary term. This method of boundary condition generation is very suitable — due to its gauge invariance — for the lattice formulation of the Casimir problem.