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

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<h5>하위주제들</h5>
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
==== 하위페이지 ====
 
 
 
* [http://pythagoras0.springnote.com/pages/1964250 0 토픽용템플릿]<br>
 
** [http://pythagoras0.springnote.com/pages/2060652 0 상위주제템플릿]<br>
 
 
 
 
 
 
 
 
 
 
 
<h5>재미있는 사실</h5>
 
 
 
 
 
 
 
 
 
 
 
<h5>관련된 단원</h5>
 
 
 
 
 
 
 
 
 
 
 
<h5>많이 나오는 질문</h5>
 
 
 
*  네이버 지식인<br>
 
** http://kin.search.naver.com/search.naver?where=kin_qna&query=
 
 
 
 
 
 
 
<h5>관련된 고교수학 또는 대학수학</h5>
 
 
 
 
 
 
 
 
 
 
 
<h5>관련된 다른 주제들</h5>
 
 
 
 
 
 
 
 
 
  
 
<h5>표준적인 도서 및 추천도서</h5>
 
<h5>표준적인 도서 및 추천도서</h5>
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<h5>참고할만한 자료</h5>
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<h5>articles</h5>
  
 
* [http://www.ma.ic.ac.uk/%7Eskdona/YMILLS.PDF Yang-Mills Theory and Geometry]<br>
 
* [http://www.ma.ic.ac.uk/%7Eskdona/YMILLS.PDF Yang-Mills Theory and Geometry]<br>
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* [http://www.jstor.org/stable/2324574 What Is Geometry?]<br>
 
* [http://www.jstor.org/stable/2324574 What Is Geometry?]<br>
 
** Shiing-Shen Chern, <cite style="line-height: 2em;">The American Mathematical Monthly</cite>, Vol. 97, No. 8, Special Geometry Issue (Oct., 1990), pp. 679-686
 
** Shiing-Shen Chern, <cite style="line-height: 2em;">The American Mathematical Monthly</cite>, Vol. 97, No. 8, Special Geometry Issue (Oct., 1990), pp. 679-686
* http://www.zentralblatt-math.org/zmath/en/
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* http://en.wikipedia.org/wiki/Yang-Mills_theory
 
* http://en.wikipedia.org/wiki/Yang-Mills_theory
 
* http://en.wikipedia.org/wiki/Gauge_theory
 
* http://en.wikipedia.org/wiki/Gauge_theory

2010년 9월 4일 (토) 16:31 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.

 


표준적인 도서 및 추천도서

 

 

articles

 

 

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