Klaus Scharnhorst - Publications
M. Bordag, K. Scharnhorst: O(alpha) radiative correction
to the Casimir energy for penetrable mirrors.
Physical Review Letters 81:18(1998)3815-3818
(DOI: 10.1103/PhysRevLett.81.3815) [arXiv:hep-th/9807121].
[INSPIRE record]
Abstract:
The leading radiative correction to the Casimir energy for
two parallel penetrable mirrors (realized by δ-function potentials)
is calculated within QED
perturbation theory. It is found to be of order alpha like the known
radiative correction for ideally reflecting
mirrors from which it differs, for a mirror distance much larger than
the electron Compton wavelength,
only by a monotonic, powerlike function of the frequency at which
the mirrors become
transparent. This shows that the O(α2) radiative correction
calculated recently by Kong and Ravndal for ideally
reflecting mirrors on the basis of effective field theory methods
remains subleading even for the physical case of
penetrable mirrors.
The article is cited in:
-
H. Gies: Probing the quantum vacuum - Perturbative effective
action approach in QED and QCD and its applications;
Doctoral Thesis, Eberhard-Karls-Universität Tübingen,
Tübingen, 1999, 264 pp..
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J. Feinberg, A. Mann, M. Revzen: Casimir effect: The classical limit.
Annals of Physics (New York) 288(2001)103-136
(DOI: 10.1006/aphy.2000.6118)
[arXiv:hep-th/9908149].
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S.K. Lamoreaux: Resource letter CF-1: Casimir force.
American Journal of Physics 67(1999)850-861
(DOI: 10.1119/1.19138).
-
F. Pinto: Engine cycle of an optically controlled vacuum energy
transducer.
Physical Review B 60(1999)14740-14755
(DOI: 10.1103/PhysRevB.60.14740).
-
A.W.C. Lau, D. Levine, P. Pincus:
Novel electrostatic attraction from plasmon fluctuations.
Physical Review Letters 84(2000)4116-4119
(DOI: 10.1103/PhysRevLett.84.4116)
[arXiv:cond-mat/0006266].
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F. Ravndal: Problems with the Casimir vacuum energy.
Extended version of a contributed talk at
`Vacuum Energy and the Cosmological Constant', NORDITA,
Copenhagen, August 24-26, 2000;
arXiv:hep-ph/0009208, 10 pp..
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W. Dittrich, H. Gies: Probing the quantum vacuum. Perturbative
effective action approach in quantum electrodynamics and its
application.
Springer Tracts in Modern Physics, Vol. 166.
Springer, Berlin, 2000 (DOI: 10.1007/3-540-45585-X).
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F. Ravndal, J.B. Thomassen: Radiative corrections to the Casimir
energy and effective field theory.
Physical Review D 63(2001)113007, 7 pp.
(DOI: 10.1103/PhysRevD.63.113007)
[arXiv:hep-th/0101131].
-
K. Melnikov: Radiative corrections to the Casimir
force and effective field theories.
Physical Review D 64(2001)045002, 10 pp.
(DOI: 10.1103/PhysRevD.64.045002)
[arXiv:hep-ph/0101228].
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M. Bordag, U. Mohideen, V.M. Mostepanenko: New developments in the
Casimir effect.
Physics Reports 253(2001)1-205
(DOI: 10.1016/S0370-1573(01)00015-1)
[arXiv:quant-ph/0106045].
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J.O. Andersen: Effective field theories for the Casimir effect at
finite temperature. University of Utrecht report ITF-UU-01/28,
arXiv:quant-ph/0108009,
4 pp..
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L.C. de Albuquerque, R.M. Cavalcanti: When the Casimir energy is not
a sum of zero-point energies.
Physical Review D 65(2002)045004, 10 pp.
(DOI: 10.1103/PhysRevD.65.045004)
[arXiv:hep-th/0108240].
-
K.A. Milton:
The Casimir Effect - Physical Manifestations
of Zero-Point Energy. World Scientific, Singapore, 2001
(DOI: 10.1142/4505).
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M.I. Caicedo, N.F. Svaiter: Effective Lagrangians for scalar
fields and finite size effects in field theory.
Journal of Mathematical Physics 45(2004)179-196
(DOI: 10.1063/1.1629138)
[arXiv:hep-th/0207202].
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F.A. Barone, R.M. Cavalcanti, C. Farina: Radiative corrections
to the Casimir effect for the massive scalar field.
arXiv:hep-th/0301238,
6 pp. (Work presented at the
XXIII. Brazilian National Meeting on Particles and Fields, Aguas
de Lindoia, Brazil, Oct 15-19, 2002).
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Y. Aghababaie, C.P. Burgess: Effective actions, boundaries and
precision calculations of Casimir energies.
Physical Review D 70(2004)085003, 6 pp.
(DOI: 10.1103/PhysRevD.70.085003)
[arXiv:hep-th/0304066].
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F.A. Barone, R.M. Cavalcanti, C. Farina: Radiative corrections
to the Casimir effect for the massive scalar field.
Renormalization Group and Anomalies.
Proceedings of the International Conference on Renormalization
Group and Anomalies in Gravity and Cosmology,
Ouro Preto, Minas Gerais, Brazil, 17 - 23 March 2003, Editors
M. Asorey, I.L. Shapiro.
Nuclear Physics B - Proceedings Supplements 127(2004)118-122
(DOI: 10.1016/S0920-5632(03)02411-3)
[arXiv:hep-th/0306011].
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T. Emig, R. Büscher: Towards a theory of molecular forces
between deformed media.
Nuclear Physics B 696(2004)468-491
(DOI: 10.1016/j.nuclphysb.2004.06.006)
[arXiv:cond-mat/0308412].
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I.V. Fialkovsky, V.N. Markov, Yu.M. Pis'mak:
Field of homogeneous plane in quantum electrodynamics.
International Journal of Modern Physics A 21(2006)2601-2616
(DOI: 10.1142/S0217751X06029053)
[arXiv:hep-th/0311236].
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F.A. Barone, R.M. Cavalcanti, C. Farina:
On the two-loop Casimir effect.
In: M. Novello, S.P. Bergliaffa, R. Ruffini (Eds.): The Tenth Marcel Grossmann Meeting.
On Recent Developments in Theoretical and Experimental General Relativity,
Gravitation and Relativistic Field Theories.
Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF),
Rio de Janeiro, Brazil, 20-26 July 2003. 3 Vols..
World Scientific, Hackensack, NJ, 2005, Vol. C, pp. 2229-2231 (DOI: 10.1142/9789812704030_0304).
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F.A. Barone Rangel:
Correções radiativas em teoria quântica de campos sob condições de contorno
[Radiative corrections in quantum field theory with boundary conditions].
Doctoral Thesis, Universidade Federal do Rio de Janeiro, Rio de Janeiro,
2003, 129 pp.
( http://objdig.ufrj.br/12/teses/653989.pdf ).
[in Portuguese, English abstract]
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R. Büscher:
Casimir forces and geometry.
Ph.D. Thesis, Universität Köln, Cologne, 2005, 127 pp.
( https://kups.ub.uni-koeln.de/1541/ ).
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R.M. Cavalcanti, C. Farina, F.A. Barone:
Radiative corrections to Casimir effect in the λφ4-model.
arXiv:hep-th/0604200, 24 pp..
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S.Y. Buhmann, D.-G. Welsch:
Dispersion forces in macroscopic quantum electrodynamics.
Progress in Quantum Electronics 31(2007)51-130
(DOI: 10.1016/j.pquantelec.2007.03.001)
[quant-ph/0608118].
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T. de Melo Britto:
O efeito Casimir a um e dois laços
[The Casimir effect at one and two loops].
Doctoral Thesis, Universidade Federal do Rio de Janeiro, Rio de Janeiro,
2006, 154 pp. ( http://objdig.ufrj.br/12/teses/678597.pdf ).
[in Portuguese, English abstract]
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R. Moazzemi, S.S. Gousheh:
A new renormalization approach to the Dirichlet Casimir effect for
φ4 theory in (1+1) dimensions.
Physics Letters B 658(2008)255-265
(DOI: 10.1016/j.physletb.2007.08.098)
[arXiv:0708.3428].
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R. Moazzemi, M. Namdar, S.S. Gousheh:
The Dirichlet Casimir effect for φ4 theory in (3+1)
dimensions: a new renormalization approach.
Journal of High Energy Physics (JHEP) (2007) No. 09, 029, 19 pp.
(DOI: 10.1088/1126-6708/2007/09/029)
[arXiv:0708.4127].
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B. Markun:
Casimir effect in smectic liquid crystals.
Ph.D. Thesis, University of Ljubljana, Ljubljana, 2007, 103 pp.
( http://www.dlib.si/?URN=URN:NBN:SI:doc-OLS00ZE1 ).
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M. Bordag, I.V. Fialkovsky, D.M. Gitman, D.V. Vassilevich:
Casimir interaction between a perfect conductor and graphene described by the Dirac model.
Physical Review B 80(2009)245406, 5 pp.
(DOI: 10.1103/PhysRevB.80.245406)
[arXiv:0907.3242].
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S.S. Gousheh, R. Moazzemi, M.A. Valuyan:
Radiative correction to the Dirichlet Casimir energy for
λφ4 theory in two spatial dimensions.
Physics Letters B 681(2009)477-483
(DOI: 10.1016/j.physletb.2009.10.058)
[arXiv:0911.3707].
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M. Bordag, G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko:
Advances in the Casimir Effect.
International Series of Monographs on Physics, Vol. 145.
Oxford Science Publications.
Oxford University Press, Oxford, 2009
(DOI: 10.1093/acprof:oso/9780199238743.001.0001).
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I.V. Fialkovsky, V.N. Marachevsky, D.V. Vassilevich:
Finite temperature Casimir effect for graphene.
Physical Review B 84(2011)035446, 10 pp.
(DOI: 10.1103/PhysRevB.84.035446)
[arXiv:1102.1757].
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O. Pavlovsky, M. Ulybyshev:
Monte-Carlo calculation of the lateral Casimir forces between
rectangular gratings within the formalism of lattice quantum field theory.
International Journal of Modern Physics A 26(2011)2743-2756
(DOI: 10.1142/S0217751X11053559)
[arXiv:1105.0544].
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R. Moazzemi, A. Mojavezi:
One-loop radiative corrections to the QED Casimir energy.
European Physical Journal C 76(2016)275, 9 pp.
(DOI: 10.1140/epjc/s10052-016-4103-z)
[arXiv:1212.4122].
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S.Y. Buhmann:
Dispersion forces I : Macroscopic quantum electrodynamics and ground-state Casimir,
Casimir–Polder and van der Waals forces.
Springer Tracts in Modern Physics, Vol. 247.
Springer, Berlin, 2012
(DOI: 10.1007/978-3-642-32484-0).
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I. Fialkovskiy:
Efeito Casimir e as propriedades oticas de grafeno
[The Casimir effect and the optical properties of graphene].
Doctoral Thesis, University of Sao Paulo, Sao Paulo,
2012, 60 pp. ( http://www.teses.usp.br/teses/disponiveis/43/43134/tde-11032013-151501/pt-br.php ). [in Portuguese]
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M.A. Valuyan:
Radiative correction to the Casimir energy for massive
scalar field on a spherical surface.
Modern Physics Letters A 32(2017)1750128, 10 pp.
(DOI: 10.1142/S0217732317501280)
[arXiv:1706.06748].
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M.A. Valuyan:
The Dirichlet Casimir energy for φ4 theory in a rectangle.
European Physical Journal Plus 133(2018)401, 15 pp.
(DOI: 10.1140/epjp/i2018-12206-8)
[arXiv:1803.03762].
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M.A. Valuyan:
The Dirichlet Casimir energy for ϕ4 theory in a rectangular waveguide.
Journal of Physics G: Nuclear and Particle Physics 45(2018)095006, 24 pp.
(DOI: 10.1088/1361-6471/aad625)
[arXiv:1808.02786].
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M.A. Valuyan:
Radiative correction to the Casimir energy with mixed boundary condition in 2 + 1 dimensions.
Indian Journal of Physics 95(2021)981-988
(DOI: 10.1007/s12648-020-01758-8)
[arXiv:2006.13013].
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T. Calza:
Teorias de campos em espaços toroidais aplicadas ao efeito Casimir
[Toroidal quantum field theories applied to Casimir effect].
Doctoral Thesis, Rio de Janeiro State University, Rio de Janeiro,
2020, 85 pp. ( https://inspirehep.net/literature/2628253 ). [in Portuguese]
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