S-matrix or scattering matrix

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

 

 

exact S-matrices

• affine Toda field theory
• exact S-matrices in ATFT

 

 

 

 

history

• http://www.google.com/search?hl=en&tbs=tl:1&q=

 

 

related items

• Path integral
• string S-matrix
• affine Toda field theory
• quantum sine-Gordon field theory
• Ising CFT

 

encyclopedia

• http://en.wikipedia.org/wiki/S-matrix
• http://en.wikipedia.org/wiki/
• http://www.scholarpedia.org/
• http://eom.springer.de
• http://www.proofwiki.org/wiki/
• Princeton companion to mathematics(Companion_to_Mathematics.pdf)

 

 

books

 

• 2011년 books and articles
• http://library.nu/search?q=
• http://library.nu/search?q=

 

 

expositions

• Torrielli, Alessandro. 2011. “Yangians, S-matrices and AdS/CFT”. 1104.2474 (4월 13). [1][2][3]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.
• Patrick Dorey, 1998, Exact S-matrices

 

 

articles

• http://www.ams.org/mathscinet
• http://www.zentralblatt-math.org/zmath/en/
• http://arxiv.org/
• http://www.pdf-search.org/
• http://pythagoras0.springnote.com/
• http://math.berkeley.edu/~reb/papers/index.html
• http://dx.doi.org/10.1143/PTPS.86.261

 

 

question and answers(Math Overflow)

• http://mathoverflow.net/search?q=
• http://math.stackexchange.com/search?q=
• http://physics.stackexchange.com/search?q=

 

 

 

blogs

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
    
  • http://blogsearch.google.com/blogsearch?q=
• http://ncatlab.org/nlab/show/HomePage

 

 

experts on the field

• http://arxiv.org/

 

 

links

• Detexify2 - LaTeX symbol classifier
• 수식표현 안내