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

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7번째 줄: 7번째 줄:
 
*  Usually, non-abelian gauge theory is called the YM theory.<br>
 
*  Usually, non-abelian gauge theory is called the YM theory.<br>
 
** QCD is one example.
 
** QCD is one example.
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<h5>basic concepts</h5>
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* connection
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* curvature
  
 
 
 
 
47번째 줄: 56번째 줄:
  
 
* We want to quantize this theory.
 
* We want to quantize this theory.
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* standard model is a quantized version of a Yang-Mills theory of classical fields
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<h5>expository</h5>
 
<h5>expository</h5>
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* [http://michaelnielsen.org/blog/?p=252 Introduction to Yang-Mills theories]<br>http://michaelnielsen.org/blog/yang_mills.pdf<br>
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* [http://motls.blogspot.com/2009/02/history-of-yang-mills-theory-and.html History of Yang-Mills theory and wishful thinking]<br>
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** The Reference Frame
  
 
* Overview of the links between the Langlands program and 4D super Yang-Mills 
 
* Overview of the links between the Langlands program and 4D super Yang-Mills 
96번째 줄: 108번째 줄:
 
<h5>블로그</h5>
 
<h5>블로그</h5>
  
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* [http://michaelnielsen.org/blog/?p=252 Introduction to Yang-Mills theories][http://michaelnielsen.org/blog/yang_mills.pdf ]<br>[http://michaelnielsen.org/blog/yang_mills.pdf ]http://michaelnielsen.org/blog/yang_mills.pdf<br>
 
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* [http://motls.blogspot.com/2009/02/history-of-yang-mills-theory-and.html History of Yang-Mills theory and wishful thinking]<br>
 
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** The Reference Frame
 
 
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
 
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
 
* 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=
 
* 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=

2011년 8월 2일 (화) 16:27 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.

 

 

basic concepts
  • connection
  • curvature

 

 

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.
  • standard model is a quantized version of a Yang-Mills theory of classical fields

 

 

books

 

 

expository

 

articles

 

 

encyclopedia

 

 

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