"Yang-Mills Theory(Non-Abelian gauge theory)"의 두 판 사이의 차이
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1번째 줄: | 1번째 줄: | ||
− | <h5> | + | <h5>introduction</h5> |
* This is not a quantum theory. | * This is not a quantum theory. | ||
25번째 줄: | 25번째 줄: | ||
* start with the free Dirac Lagrangian | * start with the free Dirac Lagrangian | ||
* we demand the Lagrangian to be invariant under the SU(N) local gauge transformations | * 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 | ||
+ | |||
+ | |||
2010년 4월 4일 (일) 16:34 판
introduction
- 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
- structure constants are needed
- self-interaction of gauge fields starts to appear
quantization of Yang-Mills theory
We want to quantize this theory.
하위주제들
하위페이지
재미있는 사실
관련된 단원
많이 나오는 질문
관련된 고교수학 또는 대학수학
관련된 다른 주제들
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=
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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
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- 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=