"Finite size effect"의 두 판 사이의 차이
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==introduction== | ==introduction== | ||
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* Casimir effect in [[QED]] is one example of finite size effect | * Casimir effect in [[QED]] is one example of finite size effect | ||
* the stress on the bounding surfaces when quantum field is confined to finite volume of space | * the stress on the bounding surfaces when quantum field is confined to finite volume of space | ||
| − | * type of boundaries | + | * type of boundaries |
** real material media | ** real material media | ||
** interface between two different phases of the vacuum of a field theory such as QCD, in which case colored field may only exist in the interior region | ** interface between two different phases of the vacuum of a field theory such as QCD, in which case colored field may only exist in the interior region | ||
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* give rise to measurable and important forces | * give rise to measurable and important forces | ||
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==how to compute the Casimir effect== | ==how to compute the Casimir effect== | ||
| − | * zero-point energy in the presence of the boundaries | + | * zero-point energy in the presence of the boundaries |
** sum over all modes | ** sum over all modes | ||
| − | ** any kind of constraint or boudary conditions on the the zero-point modes of the quantum fields in question, including backgrounds such as gravity | + | ** any kind of constraint or boudary conditions on the the zero-point modes of the quantum fields in question, including backgrounds such as gravity |
** In a model without boundary conditions, the Hamiltonian value associated wih the vacuum or ground state, called zero-point energy, is usually discarded because, despite being infinite, may be reabsorbed in a suitable redefinition of the energy origin | ** In a model without boundary conditions, the Hamiltonian value associated wih the vacuum or ground state, called zero-point energy, is usually discarded because, despite being infinite, may be reabsorbed in a suitable redefinition of the energy origin | ||
** there are several ways to put such an adjustment into practice, normal ordering being oneof the most popular | ** there are several ways to put such an adjustment into practice, normal ordering being oneof the most popular | ||
| − | * Green's functions method | + | * Green's functions method |
| − | ** represents the vacuum expectation value of the | + | ** represents the vacuum expectation value of the product of fields |
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==QFT interpretation of the Casimir effect== | ==QFT interpretation of the Casimir effect== | ||
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==related items== | ==related items== | ||
| + | * [[cosmological constant]] | ||
| + | * [[CFT on cylinder]] | ||
| + | * [[Vacuum energy and Casimir effect]] | ||
| − | * [[ | + | ==books== |
| − | + | * Kimball A. Milton [http://gigapedia.com/items:links?id=216868 The Casimir Effect: Physical Manifestations of Zero-Point Energy] | |
| − | + | * Claude Itzykson [http://www.springerlink.com/content/f374835722j24555/ Conformal invariance and finite size effects in critical two dimensional statistical models] | |
| − | + | * Michael Krech [http://www.amazon.com/Casimir-Effect-Critical-Systems/dp/9810218451 Casimir effect in critical systems] | |
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==encyclopedia== | ==encyclopedia== | ||
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| − | + | ==expositions== | |
| − | + | * http://arxiv.org/abs/1505.04237 | |
| − | + | * https://docs.google.com/file/d/0B8XXo8Tve1cxaHFoSVV1QkZ6Y2M/edit | |
==articles== | ==articles== | ||
| + | * Pearce, Paul A., and Andreas Klümper. ‘Finite-Size Corrections and Scaling Dimensions of Solvable Lattice Models: An Analytic Method’. Physical Review Letters 66, no. 8 (25 February 1991): 974–77. doi:10.1103/PhysRevLett.66.974. | ||
| + | * Batchelor, Murray T., Michael N. Barber, and Paul A. Pearce. ‘Bethe Ansatz Calculations for the Eight-Vertex Model on a Finite Strip’. Journal of Statistical Physics 49, no. 5–6 (1 December 1987): 1117–63. doi:10.1007/BF01017563. | ||
| + | * Ian Affleck [http://dx.doi.org/10.1103/PhysRevLett.56.746 Universal term in the free energy at a critical point and the conformal anomaly], Phys. Rev. Lett. 56, 746–748 (1986) | ||
| + | * H. W. J. Blöte, J. Cardy and M. P. Nightingale [http://dx.doi.org/10.1103/PhysRevLett.56.742 Conformal invariance, the central charge, and universal finite-size amplitudes at criticality], Phys. Rev. Lett. 56, 742–745 (1986) | ||
| + | * Cardy, John L. 1986. “Operator Content of Two-dimensional Conformally Invariant Theories.” Nuclear Physics. B 270 (2): 186–204. doi:http://dx.doi.org/10.1016/0550-3213(86)90552-3. | ||
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[[분류:개인노트]] | [[분류:개인노트]] | ||
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[[분류:Number theory and physics]] | [[분류:Number theory and physics]] | ||
| + | [[분류:migrate]] | ||
2020년 11월 16일 (월) 07:53 기준 최신판
introduction
- Casimir effect in QED is one example of finite size effect
- the stress on the bounding surfaces when quantum field is confined to finite volume of space
- type of boundaries
- real material media
- interface between two different phases of the vacuum of a field theory such as QCD, in which case colored field may only exist in the interior region
- topology of space
- the boundaries restrict the modes of the quantum fields
- give rise to measurable and important forces
how to compute the Casimir effect
- zero-point energy in the presence of the boundaries
- sum over all modes
- any kind of constraint or boudary conditions on the the zero-point modes of the quantum fields in question, including backgrounds such as gravity
- In a model without boundary conditions, the Hamiltonian value associated wih the vacuum or ground state, called zero-point energy, is usually discarded because, despite being infinite, may be reabsorbed in a suitable redefinition of the energy origin
- there are several ways to put such an adjustment into practice, normal ordering being oneof the most popular
- Green's functions method
- represents the vacuum expectation value of the product of fields
QFT interpretation of the Casimir effect
books
- Kimball A. Milton The Casimir Effect: Physical Manifestations of Zero-Point Energy
- Claude Itzykson Conformal invariance and finite size effects in critical two dimensional statistical models
- Michael Krech Casimir effect in critical systems
encyclopedia
- http://ko.wikipedia.org/wiki/카시미르효과
- http://en.wikipedia.org/wiki/finite_size_effect
- http://en.wikipedia.org/wiki/Casimir_effect
- http://en.wikipedia.org/wiki/Vacuum_energy
expositions
articles
- Pearce, Paul A., and Andreas Klümper. ‘Finite-Size Corrections and Scaling Dimensions of Solvable Lattice Models: An Analytic Method’. Physical Review Letters 66, no. 8 (25 February 1991): 974–77. doi:10.1103/PhysRevLett.66.974.
- Batchelor, Murray T., Michael N. Barber, and Paul A. Pearce. ‘Bethe Ansatz Calculations for the Eight-Vertex Model on a Finite Strip’. Journal of Statistical Physics 49, no. 5–6 (1 December 1987): 1117–63. doi:10.1007/BF01017563.
- Ian Affleck Universal term in the free energy at a critical point and the conformal anomaly, Phys. Rev. Lett. 56, 746–748 (1986)
- H. W. J. Blöte, J. Cardy and M. P. Nightingale Conformal invariance, the central charge, and universal finite-size amplitudes at criticality, Phys. Rev. Lett. 56, 742–745 (1986)
- Cardy, John L. 1986. “Operator Content of Two-dimensional Conformally Invariant Theories.” Nuclear Physics. B 270 (2): 186–204. doi:http://dx.doi.org/10.1016/0550-3213(86)90552-3.