Klaus Scharnhorst - Publications

D. Robaschik, K. Scharnhorst, E. Wieczorek: Radiative corrections to the Casimir pressure under the influence of temperature and external fields. Annals of Physics (New York) 174:2(1987)401-429 (DOI: 10.1016/0003-4916(87)90034-0). [INSPIRE record]

Abstract: Generalizing the quantum field theory (QFT) with boundary conditions in covariant gauge to the case of finite temperature, we develop the quantum electrodynamics (QED) with boundary conditions in the Matsubara approach as well as in the thermofield formulation. We rederive the known results of the free-field theory for the pressure and the free energy of the Casimir problem. For infinitely thin plates we calculate the radiative corrections in second-order perturbation theory at finite temperature. Thereby it turns out that the calculation of the vacuum energy at the vanishing temperature via the Z functional is much simpler than a calculation via the energy momentum tensor. This observation allows determination of the influence of static electromagnetic fields on the Casimir problem.

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