Yang-Mills Theory(Non-Abelian gauge theory)

수학노트
http://bomber0.myid.net/ (토론)님의 2010년 9월 4일 (토) 17:31 판
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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.

 


표준적인 도서 및 추천도서

 

 

articles

 

 

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