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.
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 report HUTP 87/A087, 32 pp..
= paper [13]
-
D. Robaschik, E. Wieczorek: Properties of charged particles in the
presence of conducting boundaries.
Proceedings of the XXII. International Symposium Ahrenshoop on the Theory
of Elementary Particles, Ahrenshoop, October 17-21, 1988, Editor E. Wieczorek.
IfH Berlin-Zeuthen report PHE 88-13, pp. 184-190.
-
王雷 [Wáng léi
(Lei Wang)],
毛克非 [Máo kèfēi (Kefei Mao)]:
标量场与电磁场相互作用体系中的
Casimir
效应
[Biāoliàng chǎng yǔ diàncíchǎng xiānghù zuòyòng tǐxì zhōng de
Casimir xiàoyìng]/[The Casimir energy of scalar QED].
新疆大學學報
(自然科學版)
[Xīnjiāng dàxué xuébào
(Zìrán kēxué bǎn)
= Journal of Xinjiang University (Natural Science Edition)] 5:2(1988)38-49
( http://en.cnki.com.cn/KCMS/detail/detail.aspx?dbname=CJFD8589&filename=XJDZ198802007 ).
[in Chinese, English abstract]
-
Ю.С. Бараш
[Yu.S. Barash]:
Силы
Ван-дер-Ваальса
[Sily Van-der-Vaal'sa].
Наука [Nauka], Moscow, 1988. [in Russian]
-
A. Grassi, G. Strini:
Impact of high Tc superconductors on the detection of small and "exotic" effects.
In: A. Barone (Ed.):
Superconductive Particle Detectors. 26-29 October 1987.
Advances In The Physics Of Condensed Matter. World Scientific, Singapore, 1988, pp. 325-335
(DOI: 10.1142/9789814541763).
-
A. Actor: Dirichlet and other non-periodic boundary conditions in
conflict with renormalization.
Physica A 158(1989)38-46
(DOI: 10.1016/0378-4371(89)90505-0).
-
K. Scharnhorst: On propagation of light in the vacuum between plates.
Physics Letters B 236(1990)354-359 (DOI: 10.1016/0370-2693(90)90997-K),
Erratum:
ibid. B 787(2018)204, 1 p. (DOI: 10.1016/j.physletb.2018.12.002).
= paper [16]
-
D. Robaschik, E. Wieczorek: Properties of a charged particle
in the presence of conducting boundaries.
Annalen der Physik (Leipzig), 7. Series, 47(1990)201-205
(DOI: 10.1002/andp.19905020215).
-
В.М. Мостепаненко
[V.M. Mostepanenko],
Н.Н. Трунов
[N.N. Trunov]:
Эффект
Казимира
и
его
приложения
[Èffekt Kazimira i ego prilozheniya].
Энергоатомиздат
[Ènergoatomizdat], Moscow, 1990. [in Russian]
English translation: V.M. Mostepanenko, N.N. Trunov:
The Casimir Effect and Its Applications.
Oxford University Press, Oxford, 1997.
-
B. Geyer, J. Kripfganz, J. Ranft, D. Robaschik, E. Wieczorek:
Einführung in die Quantenfeldtheorie der Elementarteilchen.
Scripten zur Physik, vol. 1.
VEB Deutscher Verlag der Wissenschaften, Berlin, 1990.
-
A. Romeo: New aspects of zeta function regularization procedures
with incidence on QFT vacuum effects. Doctoral Thesis, University
of Barcelona, 1990, 215 pp..
-
A.A. Actor: Nontransparent boundaries in quantum field theory.
Physica A 189(1992)651-664
(DOI: 10.1016/0378-4371(92)90067-Z).
-
G. Barton: New aspects of the Casimir effect - Fluctuations and
radiative reaction. Cavity Quantum Electrodynamics,
Advances in Atomic, Molecular, and Optical Physics, Supplement 2,
Editor P.R. Berman. Academic Press, San Diego, 1994, pp. 425-458.
-
E. Elizalde, S.D. Odintsov, A. Romeo, A.A. Bytsenko, S. Zerbini:
Zeta Regularization Techniques with Applications.
World Scientific, Singapore, 1994 (DOI: 10.1142/2065).
-
A.A. Actor: Scalar quantum fields confined by rectangular boundaries.
Fortschritte der Physik 43(1995)141-205
(DOI: 10.1002/prop.2190430302).
-
M. Revzen, R, Opher, M. Opher, A. Mann: Kirchhoff's theorem and
the Casimir effect.
Europhysics Letters 38(1997)245-248
(DOI: 10.1209/epl/i1997-00233-9).
-
M. Revzen, R, Opher, M. Opher, A. Mann: Casimir's entropy.
Journal of Physics A: Mathematical and General 30(1997)7783-7789
(DOI: 10.1088/0305-4470/30/22/017).
-
M. Bordag, J. Lindig: Radiative correction to the Casimir force
on a sphere.
Physical Review D 58(1998)045003, 16 pp.
(DOI: 10.1103/PhysRevD.58.045003)
[arXiv:hep-th/9801129].
-
M. Revzen, A. Mann: Casimir effect - The classical limit.
arXiv:quant-ph/9803059,
11 pp..
-
X.W. Kong, F. Ravndal: Quantum corrections to the QED vacuum energy.
Nuclear Physics B 526(1998)627-656
(DOI: 10.1016/S0550-3213(98)00364-2)
[arXiv:hep-ph/9803216].
-
F. Ravndal: Effective field theory for QED vacuum fluctuations.
In: P. Nath (Ed.):
Particles, Strings, and Cosmology (PASCOS 98),
Proceedings of the 6th International Symposium, Boston, MA, March 22-29, 1998.
World Scientific, Singapore, 1999 (DOI: 10.1142/3914), pp. 790-797
[arXiv:hep-ph/9806338].
-
M. Bordag, K. Scharnhorst: O(alpha) radiative correction
to the Casimir energy for penetrable mirrors.
Physical Review Letters 81(1998)3815-3818
(DOI: 10.1103/PhysRevLett.81.3815) [arXiv:hep-th/9807121].
= paper [25]
-
H. Mitter, D. Robaschik: Thermodynamics of the Casimir effect -
Asymptotic considerations.
In: M. Bordag (Ed.):
The Casimir Effect 50 Years Later. Proceedings of the Fourth Workshop on Quantum Field Theory under the
Influence of External Conditions, Leipzig, Germany, September 14-18, 1998 .
World Scientific, Singapore, 1999 (DOI: 10.1142/9789814527576), pp. 79-84
[arXiv:quant-ph/9811034].
-
H. Mitter, D. Robaschik: Thermodynamics of the Casimir effect.
The European Physical Journal B 13(2000)335-340
(DOI: 10.1007/s100510050039)
[arXiv:quant-ph/9902074].
-
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].
-
H. Gies: QED effective action at finite temperature: Two-loop
dominance.
Physical Review D 61(2000)085021, 18 pp.
(DOI: 10.1103/PhysRevD.61.085021)
[arXiv:hep-ph/9909500].
-
C.D. Fosco, N.F. Svaiter: Finite size effects in the anisotropic lambda
(φ14 + φ24)d /4!
model. CBPF Rio de Janeiro report CBPF-NF-052-99,
arXiv:hep-th/9910068,
33 pp..
-
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).
-
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..
-
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..
-
M.V. Cougo-Pinto, C. Farina, M.R. Negrão, A. Tort:
Magnetic permeability of constrained scalar QED vacuum.
Physics Letters B 483(2000)144-150
(DOI: 10.1016/S0370-2693(00)00547-5).
-
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).
-
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].
-
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].
-
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].
-
J.C. da Silva, A. Matos Neto, H.Q. Plácido, M. Revzen, A.E. Santana:
Casimir effect for conducting and permeable plates at finite temperature.
Physica A 292(2001)411-421
(DOI: 10.1016/S0378-4371(00)00561-6).
-
K.A. Milton:
The Casimir Effect - Physical Manifestations
of Zero-Point Energy. World Scientific, Singapore, 2001
(DOI: 10.1142/4505).
-
В.Н. Дубрава
[V.N. Dubrava]:
Эффект
Казимира
в
системе
тонких
металлических
пленок
[Èffekt Kazimira v sisteme tonkikh metallicheskikh plenok].
Кандидатская
диссертация
[Kandidat·skaya dissertatsiya],
Институт
радиофизики
и
электроники
им.
А.Я.Усикова
[Institut radiofiziki i èlektroniki im. A.Ya. Usikova]/[Usikov
Institute of Radiophysics and Electronics],
Khar'kov, 2001, 131 pp.. [in Russian]
-
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].
-
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).
-
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].
-
H. Queiroz, J.C. da Silva, F.C. Khanna, M. Revzen, A.E. Santana: Generalized
Bogoliubov transformation, fermion field and Casimir effect in a box.
arXiv:hep-th/0311246, 16 pp..
-
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).
-
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]
-
S. Nagy, J. Polonyi, K. Sailer: Periodic ground state for the charged
massive Schwinger model.
Physical Review D 70(2004)105023 , 18 pp.
(DOI: 10.1103/PhysRevD.70.105023)
[arXiv:hep-th/0405156].
-
K.A. Milton: The Casimir effect: recent controversies and progress.
Journal of Physics A: Mathematical and General 37(2004)R209-R277.
(DOI: 10.1088/0305-4470/37/38/R01)
[arXiv:hep-th/0406024].
-
N.F. Svaiter: Finite size effects in thermal field theory.
Journal of Mathematical Physics 45(2004)4524-4538
(DOI: 10.1063/1.1808485)
[arXiv:hep-th/0410016].
-
H. Queiroz, J.C. da Silva, F.C. Khanna, J.M.C. Malbouisson, M. Revzen, A.E. Santana:
Thermofield dynamics and Casimir effect for fermions.
Annals of Physics (New York) 317(2005)220-237
(DOI: 10.1016/j.aop.2004.11.011),
Erratum and Addendum:
ibid. 321(2006)1274-1275
(DOI: 10.1016/j.aop.2005.11.016)
[arXiv:hep-th/0411228].
-
M. Bordag: The Casimir effect for a sphere and a cylinder in front of a plane
and corrections to the proximity force theorem.
Physical Review D 73(2006)125018, 14 pp.
(DOI: 10.1103/PhysRevD.73.125018)
[arXiv:hep-th/0602295].
-
R.M. Cavalcanti, C. Farina, F.A. Barone:
Radiative corrections to Casimir effect in the λφ4-model.
arXiv:hep-th/0604200, 24 pp..
-
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]
-
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].
-
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].
-
C. Ccapa Ttira, C.D. Fosco, E.L.L. Losada:
Non-superposition effects in the Dirichlet-Casimir effect.
Journal of Physics A: Mathematical and General 43(2010)235402, 15 pp..
(DOI: 10.1088/1751-8113/43/23/235402)
[arXiv:0905.4756].
-
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].
-
S.J. Rahi, Th. Emig, N. Graham, R.L. Jaffe, M. Kardar:
Scattering theory approach to electrodynamic Casimir forces.
Physical Review D 80(2009)085021, 27 pp.
(DOI: 10.1103/PhysRevD.80.085021)
[arXiv:0908.2649].
-
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].
-
F.C. Khanna, A.P.C. Malbouisson, J.M.C. Malbouisson, A.R. Santana:
Thermal Quantum Field Theory - Algebraic Aspects and Applications.
World Scientific, New Jersey, 2009 (DOI: 10.1142/6896).
-
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).
-
S.J. Rahi, Th. Emig, R.L. Jaffe:
Geometry and material effects in Casimir physics - Scattering theory.
Lecture Notes in Physics 834(2011)129-174.
(DOI: 10.1007/978-3-642-20288-9_5)
[arXiv:1007.4355].
-
M. Schaden:
Irreducible many-body Casimir energies of intersecting objects.
EPL 94(2011)41001, 6 pp.
(DOI: 10.1209/0295-5075/94/41001)
[arXiv:1011.2475].
-
S.J. Rahi:
Scattering theory approach to electrodynamic Casimir forces.
Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA,
2010, 123 pp. ( http://dspace.mit.edu/handle/1721.1/62652 ).
-
K. Milton, A.A. Saharian:
Casimir densities for a spherical boundary in de Sitter spacetime.
Physical Review D 85(2012)064005, 20 pp.
(DOI: 10.1103/PhysRevD.85.064005)
[arXiv:1109.1497].
-
L.P. Teo:
Mode summation approach to Casimir effect between two objects.
International Journal of Modern Physics A 27(2012)1230021, 61 pp.
(DOI: 10.1142/S0217751X12300219)
[arXiv:1205.2444].
-
L.P. Teo:
Casimir interaction between a sphere and a cylinder.
Physical Review D 87(2013)045021, 16 pp.
(DOI: 10.1103/PhysRevD.87.045021)
[arXiv:1212.3037].
-
R. Moazzemi, A. Mojavezi:
One-loop radiative corrections to the QED Casimir energy.
The European Physical Journal C 76(2016)275, 9 pp.
(DOI: 10.1140/epjc/s10052-016-4103-z)
[arXiv:1212.4122].
-
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]
-
C.J. Cao, M. van Caspel, A.R. Zhitnitsky:
Topological Casimir effect in Maxwell electrodynamics on a compact manifold.
Physical Review D 87(2013)105012, 13 pp.
(DOI: 10.1103/PhysRevD.87.105012)
[arXiv:1301.1706].
-
M. van Caspel:
The topological Casimir effect on a torus.
Master Thesis, University of British Columbia, Vancouver,
2013, 47 pp. ( http://hdl.handle.net/2429/44948 ).
-
F.C. Khanna, A.P.C. Malbouisson, J.M.C. Malbouisson, A.E. Santana:
Quantum field theory on toroidal topology: Algebraic structure and applications.
Physics Reports 539(2014)135-224
(DOI: 10.1016/j.physrep.2014.02.002)
[arXiv:1409.1245].
-
G. Bimonte, T. Emig, M. Kardar, M. Krüger:
Non-equilibrium fluctuational quantum electrodynamics: Heat radiation, heat transfer, and force.
Annual Review of Condensed Matter Physics 8(2017)119-143
(DOI: 10.1146/annurev-conmatphys-031016-025203)
[arXiv:1606.03740].
-
A.L.C. Rego, C.A. Linhares, A.P.C. Malbouisson:
Casimir effect via a generalized Matsubara formalism.
arXiv:1608.01367, 8 pp..
-
H. Soo, D. Dean, M. Krüger:
Particles with nonlinear electric response: Suppressing van der Waals forces by an external field.
Physical Review E 87(2017)012151, 6 pp.
(DOI: 10.1103/PhysRevE.95.012151)
[arXiv:1610.09192].
-
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].
-
N.A. Saharyan:
Some quantum phenomena in gravitational fields.
Cand. Sci. Thesis. Yerevan State University, Yerevan, 2019, 159 pp.
( https://etd.nla.am/10781 ).
-
H. Soo:
Fluctuational electrodynamics for nonlinear materials in and out of equilibrium.
Doctoral Thesis. Göttingen University, Göttingen, 2019, 124 pp.
( http://hdl.handle.net/11858/00-1735-0000-002E-E639-4 ).
-
M.B. Cruz, E.R. Bezerra de Mello, H.F. Santana Mota:
Casimir energy and topological mass for a massive scalar field with Lorentz violation.
Physical Review D 102(2020)045006, 21 pp.
(DOI: 10.1103/PhysRevD.102.045006)
[arXiv:2005.09513].
-
A.P.C. Malbouisson: An alternative approach for quantum forces in toroidal topology.
International Journal of Physics 9(2021)251-258
(DOI: 10.12691/ijp-9-5-5).
-
G. Bimonte, T. Emig, N. Graham, M. Kardar:
Something can come of nothing: Surface approaches to quantum fluctuations and the Casimir force.
Annual Review of Nuclear and Particle Physics 72(2022)93-118
(DOI: 10.1146/annurev-nucl-111119-012402 )
[arXiv:2202.05386].
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