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

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== 메타데이터 ==
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==메타데이터==
 
 
 
===위키데이터===
 
===위키데이터===
 
* ID :  [https://www.wikidata.org/wiki/Q1192873 Q1192873]
 
* ID :  [https://www.wikidata.org/wiki/Q1192873 Q1192873]
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===Spacy 패턴 목록===
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* [{'LOWER': 'yang'}, {'OP': '*'}, {'LOWER': 'mills'}, {'LEMMA': 'theory'}]
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* [{'LOWER': 'yang'}, {'OP': '*'}, {'LOWER': 'mills'}, {'LEMMA': 'theory'}]
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* [{'LOWER': 'non'}, {'LOWER': '-'}, {'LOWER': 'abelian'}, {'LOWER': 'gauge'}, {'LEMMA': 'theory'}]

2021년 2월 17일 (수) 03:09 기준 최신판

introduction

  • This is not a quantum theory.
  • This can be regarded as a generalization of theory of electromagetisms., 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



Yang-Mills potential

  • dual role
    • a field in space-time
    • operator in the isotopic-spin space



quantization of Yang-Mills theory



books



expository


articles



encyclopedia

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'yang'}, {'OP': '*'}, {'LOWER': 'mills'}, {'LEMMA': 'theory'}]
  • [{'LOWER': 'yang'}, {'OP': '*'}, {'LOWER': 'mills'}, {'LEMMA': 'theory'}]
  • [{'LOWER': 'non'}, {'LOWER': '-'}, {'LOWER': 'abelian'}, {'LOWER': 'gauge'}, {'LEMMA': 'theory'}]