Yang-Mills Theory(Non-Abelian gauge theory)

간단한 소개

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

 

 

original YM theory

• massless gauge fields
  
  • for example, electromagnetic field(the only example at that time)

 

 

recipe

• prepare Dirac fields
• start with the free Dirac Lagrangian
• we demand the Lagrangian to be invariant under the SU(N) local gauge transformations
•  

 

quantization of Yang-Mills theory

We want to quantize this theory.

 

 

 

 

 

하위페이지

• 0 토픽용템플릿
  
  • 0 상위주제템플릿
    

 

 

 

 

 

 

많이 나오는 질문

• 네이버 지식인
  
  • http://kin.search.naver.com/search.naver?where=kin_qna&query=

 

 

 

 

 

표준적인 도서 및 추천도서

• Baez and Muniain (“Knots, Gauge Fields and Gravity”, World Scientific 1994
• M. Nakahara “Geometry, Topology and Physics”.
• 찾아볼 수학책
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=

 

 

참고할만한 자료

• Yang-Mills Theory and Geometry
  
  • Donaldson
• What Is Geometry?
  
  • Shiing-Shen Chern, The American Mathematical Monthly, Vol. 97, No. 8, Special Geometry Issue (Oct., 1990), pp. 679-686
• http://www.zentralblatt-math.org/zmath/en/
• http://en.wikipedia.org/wiki/Yang-Mills_theory
• http://en.wikipedia.org/wiki/Gauge_theory
• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• http://viswiki.com/en/
• http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
• http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
• 다음백과사전 http://enc.daum.net/dic100/search.do?q=

 

 

이미지 검색

• http://commons.wikimedia.org/w/index.php?title=Special%3ASearch&search=

 

 

동영상

• http://www.youtube.com/results?search_type=&search_query=

 

관련기사

네이버 뉴스 검색 (키워드 수정)

• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
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• http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=

 

블로그

• Introduction to Yang-Mills theories[1]
  [2]http://michaelnielsen.org/blog/yang_mills.pdf
  
• History of Yang-Mills theory and wishful thinking
  
  • The Reference Frame
• 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
• 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=