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Casimir force in quantum electrodynamics is the representation of zero point energy of vacuum. Depending on the type of fluctuation medium, generalized Casimir force covers a wide spectrum of topics in physics, such as, quantum, critical, Goldstone mode, and non-equilibrium Casimir force. In general, long range correlated fluctuations and constraints are two conditions for generating the Casimir force. In this paper, through a survey of the development of Casimir physics, we discuss several types of Casimir forces and several regularization methods. We end the paper with an outlook for the further development of Casimir physics in the future.
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Keywords:
- Casimir force /
- fluctuations /
- long range correlation /
- regularization
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[4] Milton K A 2001 Casimir Effect: Physical Manifestations of Zero Point Energy (Singapore: World Scientific Publishing Co. Pte. Ltd.)
[5] Dalvit D, Milonni P, Roberts D, Rosa F 2011 Casimir Physics (Heidelberg: Springer) pp1–3
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Google Scholar
[11] Semenov A N, Obukhov S P 2005 J. Phys.: Condens. Matter 17 S1747
Google Scholar
[12] Sparnaay M J 1958 Physica 24 751
Google Scholar
[13] Lamoreaux S K 1997 Phys. Rev. Lett. 78 5
Google Scholar
[14] Mohideen U, Roy A 1998 Phys. Rev. Lett. 81 4549
Google Scholar
[15] Serry F M, Walliser D, Maclay G J 1998 J. Appl. Phys. 84 2501
Google Scholar
[16] Buks E, Roukes M L 2001 Phys. Rev. B 63 033402
Google Scholar
[17] Chan H B, Aksyuk V A, Kleiman R N, Bishop D J, Capasso F 2001 Science 291 1941
Google Scholar
[18] Garcia R, Chan M H W 1999 Phys. Rev. Lett. 83 1187
Google Scholar
[19] Hertlein C, Helden L, Gambassi A, Dietrich S, Bechinger C 2008 Nature 451 172
Google Scholar
[20] Lifshitz E M 1956 Sov. Phys. JETP 2 73
[21] Woods L M, Dalvit D A R, Tkatchenko A, Rodriguez-Lopez P, Rodriguez A W, Podgornik R 2016 Rev. Mod. Phys. 88 045003
Google Scholar
[22] Schwinger J 1975 Lett. Math. Phys. 1 43
Google Scholar
[23] Aminov A, Kafri Y, Kardar M 2015 Phys. Rev. Lett. 114 230602
Google Scholar
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[1] Kardar M, Golestanian R 1999 Rev. Mod. Phys. 71 1233
Google Scholar
[2] Bordag M, Klimchitskaya G L, Mohideen U, Mostepanenko V M 2009 Advances in the Casimir Effect (New York: Oxford University Press)
[3] Casimir H B G 1948 Proc. K. Ned. Akad. Wet. 51 793
[4] Milton K A 2001 Casimir Effect: Physical Manifestations of Zero Point Energy (Singapore: World Scientific Publishing Co. Pte. Ltd.)
[5] Dalvit D, Milonni P, Roberts D, Rosa F 2011 Casimir Physics (Heidelberg: Springer) pp1–3
[6] Elizalde E, Odintsov S D, Romeo A, Bytsenko A A, Zerbini S 1994 Zeta Regularization Techniques with Applications (Singapore: World Scientific Publishing Co. Pte. Ltd.)
[7] Fisher M E, de Gennes P G 1978 C. R. Seances Acad. Sci., Ser. B 287 207
[8] Maciołek A, Dietrich S 2018 Rev. Mod. Phys. 90 045001
Google Scholar
[9] de Gennes P G 1979 Scaling Concepts in Polymer Physics (London: Cornell University Press) pp271–281
[10] Obukhov S P, Semenov A N 2005 Phys. Rev. Lett. 95 038305
Google Scholar
[11] Semenov A N, Obukhov S P 2005 J. Phys.: Condens. Matter 17 S1747
Google Scholar
[12] Sparnaay M J 1958 Physica 24 751
Google Scholar
[13] Lamoreaux S K 1997 Phys. Rev. Lett. 78 5
Google Scholar
[14] Mohideen U, Roy A 1998 Phys. Rev. Lett. 81 4549
Google Scholar
[15] Serry F M, Walliser D, Maclay G J 1998 J. Appl. Phys. 84 2501
Google Scholar
[16] Buks E, Roukes M L 2001 Phys. Rev. B 63 033402
Google Scholar
[17] Chan H B, Aksyuk V A, Kleiman R N, Bishop D J, Capasso F 2001 Science 291 1941
Google Scholar
[18] Garcia R, Chan M H W 1999 Phys. Rev. Lett. 83 1187
Google Scholar
[19] Hertlein C, Helden L, Gambassi A, Dietrich S, Bechinger C 2008 Nature 451 172
Google Scholar
[20] Lifshitz E M 1956 Sov. Phys. JETP 2 73
[21] Woods L M, Dalvit D A R, Tkatchenko A, Rodriguez-Lopez P, Rodriguez A W, Podgornik R 2016 Rev. Mod. Phys. 88 045003
Google Scholar
[22] Schwinger J 1975 Lett. Math. Phys. 1 43
Google Scholar
[23] Aminov A, Kafri Y, Kardar M 2015 Phys. Rev. Lett. 114 230602
Google Scholar
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