Klaus Scharnhorst - Publications - Citations of the paper [9]

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(1987)401-429 (DOI: 10.1016/0003-4916(87)90034-0). [SPIRES 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.

The article is cited in:

K. Scharnhorst: Zur effektiven Wirkung in der QCD und zu Strahlungskorrekturen zum Casimir-Effekt in der QED [On the effective action in QCD and on radiative corrections to the Casimir effect in QED]. Doctoral Thesis, Humboldt University Berlin, 1987, 98 pp.. [in German] = paper [7]
K. Scharnhorst, D. Robaschik, E. Wieczorek: Quantum field theoretic treatment of the Casimir effect at T > 0 (Real time formulation - free field approximation). Annalen der Physik (Leipzig), 7. Series, 44(1987)351-360 (DOI: 10.1002/andp.19874990507). = paper [8]
K. Scharnhorst: Background field method and effective action. Harvard University Cambridge Preprint HUTP 87/A087, 32 pp.. = paper [13]
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