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

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2010년 1월 8일 (금) 20:46 판

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.

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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/
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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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관련기사

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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
구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
트렌비 블로그 검색 http://www.trenb.com/search.qst?q=

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