"S-matrix or scattering matrix"의 두 판 사이의 차이
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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: | 64번째 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]] | |
2015년 4월 16일 (목) 16:45 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.
- MacKay, N. J. ‘On the Bootstrap Structure of Yangian-Invariant Factorized S-Matrices’. arXiv:hep-th/9211091, 20 November 1992. http://arxiv.org/abs/hep-th/9211091.