Yang-Mills Theory(Non-Abelian gauge theory)
http://bomber0.myid.net/ (토론)님의 2010년 9월 4일 (토) 17:31 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
- 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=
articles
- 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://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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