"Yang-Mills Theory(Non-Abelian gauge theory)"의 두 판 사이의 차이

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* http://online.kitp.ucsb.edu/online/duallang_m10/frenkel/rm/flashtv.html
 
* http://online.kitp.ucsb.edu/online/duallang_m10/frenkel/rm/flashtv.html
  
 
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[http://www.maths.ed.ac.uk/%7Ejmf/Teaching/EDC.html http://www.maths.ed.ac.uk/~jmf/Teaching/EDC.html]
  
 
 
 
 

2011년 4월 8일 (금) 02:24 판

introduction
  • This is not a quantum theory.
  • This can be regarded as a generalization of electromagetics., i.e. bundle + connections
  • looks like the coordinate invariance of gravity theory
  • Gauge theory
  • Usually, non-abelian gauge theory is called the YM theory.
    • QCD is one example.

 

 

original Yang-Mills model
  • three kinds of photon
    • one ordinary photon
    • two electrically charged photons with spin 1 which is physically impossible to exist
  • massless gauge fields
    • for example, electromagnetic field(the only example at that time)

 

 

weak force

 

 

 

recipe
  • prepare Dirac fields
  • start with the free Dirac Lagrangian
  • we demand the Lagrangian to be invariant under the SU(N) local gauge transformations
  • structure constants are needed
  • self-interaction of gauge fields starts to appear

 

 

quantization of Yang-Mills theory

We want to quantize this theory.

 

 

books

 

 

expository

http://www.maths.ed.ac.uk/~jmf/Teaching/EDC.html

 

articles

 

 

encyclopedia

 

 

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