"Gauge theory"의 두 판 사이의 차이

2009년 9월 25일 (금) 15:19 판

3d Chern-Simons theory on \(\Sigma\times \mathbb R^{1}\) with gauge choice \(A_0=0\) is the moduli space of flat connections on \(\Sigma\).
analogy with class field theory
replace \(\Sigma\) by \(spec O_K\)
then flat connection on \(spec O_K\) is given by Homomorphism group the absolute Galois group Gal(\barQ/K)->U(1)
Now from An's article,

@@ 4번째 줄: / 4번째 줄: @@
 * gauge invariance 란 measurement에 있어서의 invariance를 말함
 * Lagrangian should be gauge invariant.
@@ 54번째 줄: / 52번째 줄: @@
 <h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">3d Chern-Simons theory</h5>
-d
+*  3d Chern-Simons theory on <math>\Sigma\times \mathbb R^{1}</math> with gauge choice <math>A_0=0</math> is the moduli space of flat connections on <math>\Sigma</math>.<br>
+*  analogy with class field theory<br>
+*  replace <math>\Sigma</math> by <math>spec O_K</math><br>
+*  then flat connection on <math>spec O_K</math> is given by Homomorphism group the absolute Galois group Gal(\barQ/K)->U(1)<br>
+*  Now from An's article, <br>
@@ 86번째 줄: / 88번째 줄: @@
 <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">참고할만한 자료</h5>
+*   <br>
 * http://www.zentralblatt-math.org/zmath/en/
-*
 * http://ko.wikipedia.org/wiki/
 * http://en.wikipedia.org/wiki/principal_bundle
+* http://en.wikipedia.org/wiki/Connection_(vector_bundle)
 * http://viswiki.com/en/
 * http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=