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

2010년 9월 4일 (토) 17:31 판

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.

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)

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

We want to quantize this theory.

@@ 50번째 줄: / 50번째 줄: @@
+<br>
-<h5>하위주제들</h5>
-==== 하위페이지 ====
-* [http://pythagoras0.springnote.com/pages/1964250 0 토픽용템플릿]<br>
-** [http://pythagoras0.springnote.com/pages/2060652 0 상위주제템플릿]<br>
-<h5>재미있는 사실</h5>
-<h5>관련된 단원</h5>
-<h5>많이 나오는 질문</h5>
-*  네이버 지식인<br>
-** http://kin.search.naver.com/search.naver?where=kin_qna&query=
-<h5>관련된 고교수학 또는 대학수학</h5>
-<h5>관련된 다른 주제들</h5>
 <h5>표준적인 도서 및 추천도서</h5>
@@ 116번째 줄: / 68번째 줄: @@
-<h5>참고할만한 자료</h5>
+<h5>articles</h5>
 * [http://www.ma.ic.ac.uk/%7Eskdona/YMILLS.PDF Yang-Mills Theory and Geometry]<br>
@@ 122번째 줄: / 74번째 줄: @@
 * [http://www.jstor.org/stable/2324574 What Is Geometry?]<br>
 ** Shiing-Shen Chern, <cite style="line-height: 2em;">The American Mathematical Monthly</cite>, Vol. 97, No. 8, Special Geometry Issue (Oct., 1990), pp. 679-686
-* http://www.zentralblatt-math.org/zmath/en/
+*
+*
+* <br><br> \
 * http://en.wikipedia.org/wiki/Yang-Mills_theory
 * http://en.wikipedia.org/wiki/Gauge_theory