"S-matrix or scattering matrix"의 두 판 사이의 차이

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==introduction==
  
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* transition amplitude are too hard to calculate from the theory, except in infinite time limits
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* those limits are the entries of the S-matrix
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* typical way to compute S-matrix entries is using [[correlation functions and Ward identity]]
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==probability amplitude==
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* probability amplitude from initial states to final states
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*  Feynman diagram is a tool to compute the probability amplitudes.
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** transition amplitude
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**  scattering amplitude
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*** computation of S-matrix (S = Scattering)
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*** cross section
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*  these are important because they are physically measurable quantity
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** similar to correlation functions in [[5 conformal field theory(CFT)|Conformal Field Theory]]
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** look at [[correlation functions and Ward identity]] page
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==S-matrix==
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* functions of complex rapidity difference \theta
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* unitarity
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* crossing-symmetry
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* [[rapidity in special relativity]]
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==exact S-matrices==
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* [[affine Toda field theory (ATFT)]]
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* [[Factorizable scattering and exact S-matrices in ATFT]]
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==bootstrap equations==
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==related items==
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* [[path integral formulation of quantum mechanics|Path integral]]
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* [[string S-matrix]]
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* [[affine Toda field theory (ATFT)|affine Toda field theory]]
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* [[quantum sine-Gordon field theory]]
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* [[(3,4) Ising minimal model CFT|Ising CFT]]
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* [[Dorey's rule]]
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==encyclopedia==
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* http://en.wikipedia.org/wiki/S-matrix
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==expositions==
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* Torrielli, Alessandro. 2011. “Yangians, S-matrices and AdS/CFT”. <em>1104.2474</em> (4월 13). http://arxiv.org/abs/1104.2474.
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* 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.
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* 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]]
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[[분류:math and physics]]
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[[분류:migrate]]
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==메타데이터==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q581505 Q581505]
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===Spacy 패턴 목록===
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* [{'LOWER': 's'}, {'OP': '*'}, {'LEMMA': 'matrix'}]

2021년 2월 17일 (수) 02:09 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



S-matrix



exact S-matrices



bootstrap equations

related items


encyclopedia


expositions

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 's'}, {'OP': '*'}, {'LEMMA': 'matrix'}]
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