"S-matrix or scattering matrix"의 두 판 사이의 차이
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imported>Pythagoras0 잔글 (찾아 바꾸기 – “* Princeton companion to mathematics(Companion_to_Mathematics.pdf)” 문자열을 “” 문자열로) |
Pythagoras0 (토론 | 기여) |
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==introduction== | ==introduction== | ||
| − | * transition amplitude are | + | * transition amplitude are too hard to calculate from the theory, except in infinite time limits |
* those limits are the entries of the S-matrix | * those limits are the entries of the S-matrix | ||
| − | * typical way to compute S-matrix entries is | + | * typical way to compute S-matrix entries is using [[correlation functions and Ward identity]] |
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==probability amplitude== | ==probability amplitude== | ||
* probability amplitude from initial states to final states | * probability amplitude from initial states to final states | ||
| − | * Feynman diagram is a tool to compute the | + | * Feynman diagram is a tool to compute the probability amplitudes. |
** transition amplitude | ** transition amplitude | ||
| − | ** scattering | + | ** scattering amplitude |
*** computation of S-matrix (S = Scattering) | *** computation of S-matrix (S = Scattering) | ||
*** cross section | *** cross section | ||
| − | * these are important because they are physically measurable quantity | + | * these are important because they are physically measurable quantity |
| − | ** similar to correlation functions | + | ** similar to correlation functions in [[5 conformal field theory(CFT)|Conformal Field Theory]] |
| − | ** look | + | ** look at [[correlation functions and Ward identity]] page |
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==S-matrix== | ==S-matrix== | ||
| 30번째 줄: | 30번째 줄: | ||
* unitarity | * unitarity | ||
* crossing-symmetry | * crossing-symmetry | ||
| + | * [[rapidity in special relativity]] | ||
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==exact S-matrices== | ==exact S-matrices== | ||
| − | * [[affine Toda field theory (ATFT) | + | * [[affine Toda field theory (ATFT)]] |
| − | * [[exact S-matrices in ATFT]] | + | * [[Factorizable scattering and exact S-matrices in ATFT]] |
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==bootstrap equations== | ==bootstrap equations== | ||
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==related items== | ==related items== | ||
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* [[path integral formulation of quantum mechanics|Path integral]] | * [[path integral formulation of quantum mechanics|Path integral]] | ||
* [[string S-matrix]] | * [[string S-matrix]] | ||
| 65번째 줄: | 56번째 줄: | ||
* [[quantum sine-Gordon field theory]] | * [[quantum sine-Gordon field theory]] | ||
* [[(3,4) Ising minimal model CFT|Ising CFT]] | * [[(3,4) Ising minimal model CFT|Ising CFT]] | ||
| − | + | * [[Dorey's rule]] | |
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==encyclopedia== | ==encyclopedia== | ||
* http://en.wikipedia.org/wiki/S-matrix | * http://en.wikipedia.org/wiki/S-matrix | ||
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==expositions== | ==expositions== | ||
| − | * Torrielli, Alessandro. 2011. “Yangians, S-matrices and AdS/CFT”. <em>1104.2474</em> (4월 13). | + | * Torrielli, Alessandro. 2011. “Yangians, S-matrices and AdS/CFT”. <em>1104.2474</em> (4월 13). http://arxiv.org/abs/1104.2474. |
* White, Alan. R. 2000. The Past and Future of S-Matrix Theory. <em>hep-ph/0002303</em> (February 29). http://arxiv.org/abs/hep-ph/0002303. | * White, Alan. R. 2000. The Past and Future of S-Matrix Theory. <em>hep-ph/0002303</em> (February 29). http://arxiv.org/abs/hep-ph/0002303. | ||
| − | * Patrick | + | * Dorey, Patrick. ‘Exact S-Matrices’. arXiv:hep-th/9810026, 5 October 1998. http://arxiv.org/abs/hep-th/9810026. |
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[[분류:개인노트]] | [[분류:개인노트]] | ||
[[분류:math and physics]] | [[분류:math and physics]] | ||
| + | [[분류:migrate]] | ||
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| + | ==메타데이터== | ||
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q581505 Q581505] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 's'}, {'OP': '*'}, {'LEMMA': 'matrix'}] | ||
2021년 2월 17일 (수) 03:09 기준 최신판
introduction
- transition amplitude are too hard to calculate from the theory, except in infinite time limits
- those limits are the entries of the S-matrix
- typical way to compute S-matrix entries is using correlation functions and Ward identity
probability amplitude
- probability amplitude from initial states to final states
- Feynman diagram is a tool to compute the probability amplitudes.
- transition amplitude
- scattering amplitude
- computation of S-matrix (S = Scattering)
- cross section
- these are important because they are physically measurable quantity
- similar to correlation functions in Conformal Field Theory
- look at correlation functions and Ward identity page
S-matrix
- functions of complex rapidity difference \theta
- unitarity
- crossing-symmetry
- rapidity in special relativity
exact S-matrices
bootstrap equations
- Path integral
- string S-matrix
- affine Toda field theory
- quantum sine-Gordon field theory
- Ising CFT
- Dorey's rule
encyclopedia
expositions
- Torrielli, Alessandro. 2011. “Yangians, S-matrices and AdS/CFT”. 1104.2474 (4월 13). http://arxiv.org/abs/1104.2474.
- White, Alan. R. 2000. The Past and Future of S-Matrix Theory. hep-ph/0002303 (February 29). http://arxiv.org/abs/hep-ph/0002303.
- Dorey, Patrick. ‘Exact S-Matrices’. arXiv:hep-th/9810026, 5 October 1998. http://arxiv.org/abs/hep-th/9810026.
메타데이터
위키데이터
- ID : Q581505
Spacy 패턴 목록
- [{'LOWER': 's'}, {'OP': '*'}, {'LEMMA': 'matrix'}]