"S-matrix or scattering matrix"의 두 판 사이의 차이
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imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
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| 12번째 줄: | 12번째 줄: | ||
* probability amplitude from initial states to final states | * probability amplitude from initial states to final states | ||
| − | * Feynman diagram is a tool to compute the probability amplitudes. | + | * Feynman diagram is a tool to compute the probability amplitudes. |
** transition amplitude | ** transition amplitude | ||
| − | ** scattering amplitude | + | ** 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 in [[5 conformal field theory(CFT)|Conformal Field Theory]] | ** similar to correlation functions in [[5 conformal field theory(CFT)|Conformal Field Theory]] | ||
** look at [[correlation functions and Ward identity]] page | ** look at [[correlation functions and Ward identity]] page | ||
2020년 11월 13일 (금) 09:01 판
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
history
- 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.