The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Gravitational contribution to the Casimir energy in Kaluza-Klein theories
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Citations
Cites
Higher Transcendental Functions.
Truesdell, C., Bateman, H., Erdelyi, A., Magnus, W., Oberhettinger, F., & Tricomi, F. G. (1954) · The American Mathematical Monthly · doi:10.2307/2307622 · Cited by 4,393
Quantum Theory of Gravity. II. The Manifestly Covariant Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.162.1195 · Cited by 1,765
Functional evaluation of the effective potential
Jackiw, R. (1974) · Physical Review D · doi:10.1103/physrevd.9.1686 · Cited by 901
Calculation of gauge couplings and compact circumferences from self-consistent dimensional reduction
Candelas, P., & Weinberg, S. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90001-4 · Cited by 411
Properties of the vacuum. I. Mechanical and thermodynamic
Ambjørn, J., & Wolfram, S. (1983) · Annals of Physics · doi:10.1016/0003-4916(83)90065-9 · Cited by 377
One-loop divergences of quantized Einstein-Maxwell fields
Deser, S., & van Nieuwenhuizen, P. (1974) · Physical Review D · doi:10.1103/physrevd.10.401 · Cited by 362
Introduction to the Background Field Method
Abbott, L. F. (1981) · CERN Document Server (European Organization for Nuclear Research) · Cited by 354
Quantum Effects in Kaluza-Klein Theories
Appelquist, T., & Chodos, A. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.141 · Cited by 318
Self-citationQuantum dynamics of Kaluza-Klein theories
Appelquist, T., & Chodos, A. (1983) · Physical Review D · doi:10.1103/physrevd.28.772 · Cited by 250
Self-citationWeinberg, S. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)91281-9 · Cited by 173
Research works printed but not linked: 6
- An Ying and Chen Shi, in “Proceedings, Third M. Grossman Meeting,” in press
- Kogan, 1983, JETP Lett., 38, 311
- O. Yasuda, Tokyo preprint UT-414, 1983.
- Abbott, 1982, Acta Phys. Polon. B, 13, 33
- Vilenkin, 1968, Vol. 22, 447
- Regula, 1806, Ann. of Math., 30, 61
Cited by
Items 101–158 of 158
Normal modes of Proca fields in AdSd spacetime
Lopes, D. C., Fernandes, T. V., & Lemos, J. P. S. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.109.064041 · Cited by 5
Crispino, L. C. B., Higuchi, A., & Matsas, G. E. A. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.127504 · Cited by 5
Linear Stability of Higher Dimensional Schwarzschild Spacetimes: Decay of Master Quantities
Hung, P., Keller, J., & Wang, M. (2020) · Annals of PDE · doi:10.1007/s40818-020-00083-x · Cited by 5
First-order phase transition for a field theory at finite chemical potential in a toroidal topology
Linhares, C. A., Malbouisson, A. P. C., & Roditi, I. (2012) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/98/41001 · Cited by 5
Higher-dimensional bianchi type-VIh cosmologies
Lorenz-Petzold, D. (1985) · Journal of Astrophysics and Astronomy · doi:10.1007/bf02714992 · Cited by 5
Thermodynamics in Kaluza-Klein theories
Tosa, Y. (1986) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.33.2326 · Cited by 5
Gauge dependence of the effective action in multidimensional supergravities
Odintsov, S. D. (1988) · Physics Letters B · doi:10.1016/0370-2693(88)91382-2 · Cited by 5
Allen, B. (1987) · Lecture notes in physics · doi:10.1007/3-540-17925-9_31 · Cited by 4
Higher-dimensional bianchi type-V cosmologies
Lorenz-Petzold, D. (1985) · Letters in Mathematical Physics · doi:10.1007/bf00420567 · Cited by 4
Luo, Y., Tan, M.-C., Vasko, P., & Zhao, Q. (2017) · Journal of High Energy Physics · doi:10.1007/jhep05(2017)121 · Cited by 3
Zhao, R.-D., & Huang, J.-H. (2022) · Physics Letters B · doi:10.1016/j.physletb.2022.137286 · Cited by 3
Some aspects of Kaluza-Klein cosmology
Srivastava, S. K. (1997) · Pramana · doi:10.1007/bf02847423 · Cited by 3
Comments on the multi-dimensional Wheeler-DeWitt equationPreprint
Embacher, F. (1994) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9409016 · Cited by 3
Gauge invariance of the one-loop effective potential in Md ≥1 Kaluza-Klein theory
Kunstatter, G., Lee, H. C., & Leivo, H. P. (1986) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.33.1018 · Cited by 3
The trace left by signature-change-induced compactificationPreprint
Embacher, F. (1994) · Cited by 3
Curvature induced phase transition in the Gross-Neveu model on M 4 × S d
Granda, L. N., & Roldán, J. (1995) · Classical and Quantum Gravity · doi:10.1088/0264-9381/12/5/004 · Cited by 2
Quantum Effects in a Multidimensional Theory with Spontaneous Compactification
Castaldini, C. (1987) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/3/4/006 · Cited by 2
Chakraborty, B., & Parthasarathy, R. (1989) · Classical and Quantum Gravity · doi:10.1088/0264-9381/6/10/014 · Cited by 2
Effective potential in an open Kaluza-Klein universe
Lee, H. Y., & Norisuke Sakai, B. (1986) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.34.2956 · Cited by 2
The trace left by signature-change-induced compactification
Embacher, F. (1995) · Classical and Quantum Gravity · doi:10.1088/0264-9381/12/7/014 · Cited by 2
Effective action in multidimensional (Super)gravities
Buchbinder, I. L., & Odintsov, S. D. (1988) · Czechoslovak Journal of Physics · doi:10.1007/bf01605961 · Cited by 2
Self-consistent compactification at finite temperature on R×S5×S3
Jermyn, I. H. (1992) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.45.3678 · Cited by 1
The Casimir Force Between Objects of Arbitrary Shape
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0010 · Cited by 1
The Casimir effect in renormalizable field theory
Kunimasa, T., & Kunihiko Uehara, B. (1987) · Nuclear Physics B · doi:10.1016/0550-3213(87)90013-7 · Cited by 1
Effective action in R 2 gravity and spontaneous compactification
Granda, L. N., & Pyzh, V. M. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/10/015 · Cited by 1
On the Casimir Effect for N-Dimensional Spheres
Rosa, F. S. S., Cougo-Pinto, M. V., & Farina, C. (2004) · International Conference on Mathematical Methods in Physics (ICMP) · doi:10.22323/1.013.0039
Zeta function regularization in de Sitter space: The Minkowski limit
Chodos, A., & Kaiser, A. (1997) · Journal of Mathematical Physics · doi:10.1063/1.532122
Self-citationSpontaneous quantum compactification in a d = 10 supersymmetric Yang-Mills theory
Kirillova, E. N., & Odintsov, S. D. (1990) · Russian Physics Journal · doi:10.1007/bf00896269
Gauge invariance of effective potential in Kaluza-Klein theories
Lavrov, P. M., & Odintsov, S. D. (1988) · Russian Physics Journal · doi:10.1007/bf01101163
Gauge dependence of the effective action in multidimensional theories of supergravity
Odintsov, S. D. (1989) · Russian Physics Journal · doi:10.1007/bf00895317
McAllister, L., McGuirk, P., & Stout, J. (2014) · Journal of High Energy Physics · doi:10.1007/jhep02(2014)018
Constraints on Hypothetical Interactions from the Casimir Effect
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0024
The Casimir Force Between Rough Surfaces and Corrugated Surfaces
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0017
The Casimir Interaction Between Real-Metal Plates at Zero Temperature
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0013
The Casimir Interaction Between Real Metals at Nonzero Temperature
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0014
Measurements of the Casimir Force in Configurations with Corrugated Boundaries
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0021
Regularization and Renormalization of the Vacuum Energy
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0004
Applications of the Casimir Force in Nanotechnology
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0023
Measurements of the Casimir Force with Semiconductors
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0020
General Requirements for Casimir Force Measurements
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0018
Measurements of the Casimir―Polder Force
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0022
Field Quantization and Vacuum Energy in the Presence of Boundaries
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0003
Single Spherical and Cylindrical Boundaries
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0009
The Lifshitz Theory of The Van Der Waals and Casimir Forces Between Plane Dielectrics
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0012
The Lifshitz Theory of Atom―Wall Interactions
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0016
Measurements of the Casimir Force Between Metals
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0019
The Casimir Effect For Two Ideal-Metal Planes
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0007
The Casimir Effect at Nonzero Temperature
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0005
The Casimir Interaction Between a Metal and a Dielectric
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0015
Simple Models of the Casimir Effect
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0002
Spaces With Non-Euclidean Topology
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0011
The Casimir Effect in Rectangular Boxes
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0008
Approximate and Numerical Approaches
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0006
(2001) · Chapman & Hall/CRC eBooks · doi:10.1201/9781420035469.bmatt
Michael Bordag, B., Klimchitskaya, G. L., Mohideen, U., & Mostepanenko, V. M. (2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.003.0025
(2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.002.0005
(2009) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199238743.002.0004
Huang, J.-H. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.109.124015
Metadata
- Authors
- Chodos, A., & Myers, E.
- Affiliations
- Yale University (US)
- ORCID
- Chodos, Alan
- Venue
- Annals of Physics
- Publisher
- Elsevier BV
- Published
- 1984-09
- Volume
- 156
- Issue
- 2
- Pages
- 412-441
- ISSN
- 0003-4916 (ISSN-L)
- OpenAlex
- W2095158738
- Cited by
- 158
- References
- 22
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 4 · 2023: 1 · 2022: 3 · 2021: 3 · 2020: 3 · 2019: 1 · 2018: 1 · 2017: 2 · 2015: 1 · 2014: 2 · 2013: 2 · 2012: 2
- FWCI
- 10.90
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- Locations
- Annals of Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- Casimir energy, Kaluza-Klein theory, gravity field, cosmological constant, n-sphere, tachyonic modes, extra dimensions
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
