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)401429
(DOI: 10.1016/00034916(87)900340).
[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 freefield theory for the pressure
and the free energy of the Casimir problem. For infinitely thin plates we calculate
the radiative corrections in secondorder 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.
 Electronic copy of the article:
Annals of Physics (New York)
 Citations
 Misprints, errata, addenda (PDF / Postscript):

P. 419, eq. (4.40), the sign of the r.h.s. should be
reversed, cf.:

footnote 1 on p. 357 of:
K. Scharnhorst: On propagation of light in the vacuum between plates.
Physics Letters B 236(1990)354359 (DOI: 10.1016/03702693(90)90997K).
= paper [16],

also,
H. Gies: QED effective action at finite temperature: Two loop dominance
Physical Review D 61(2000)085021, 18 pp.
[hepph/9909500]
(DOI: 10.1103/PhysRevD.61.085021),
(in particular footnote 8 on p. 08502114).
The discussion of the imaginary part on p. 419 has to be adjusted
correspondingly.

P. 424, eq. (II.8), the sign after F_{0} should be reversed
(from minus to plus).

P. 429, eq. (II.9), the sign after F_{0}
should be reversed (from minus to plus),
and for a correction of a misprint in the photon propagator see this sheet:
PDF / Postscript.

P. 425, eq. (II.11), second line, the sign after
F_{0}(a,β) should be reversed (from minus to plus).
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Document last modified: October 29, 2018
Document address: http://www.nat.vu.nl/~scharnh/paper09.htm