"Gauge theory"의 두 판 사이의 차이
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| + | <h5 style="line-height: 2em; 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%;">examples of renormalizable gauge theory</h5> | ||
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| + | * [[QED]]<br> | ||
| + | * QCD<br> | ||
| + | * [[3275485|Particle physics : Quirks and the Standard Models]]<br> | ||
<h5>Abelian gauge theory</h5> | <h5>Abelian gauge theory</h5> | ||
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| + | * abelian gauge theory has a duality | ||
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| + | <h5>Non-Abelian gauge theory</h5> | ||
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| + | * [[Yang-Mills Theory(Non-Abelian gauge theory)|Yang-Mills Theory]] | ||
| − | <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%;"> | + | <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%;">differential geometry formulation</h5> |
* manifold <math>\mathbb R^{1,3}</math> and having a vector bundle gives a connection<br> | * manifold <math>\mathbb R^{1,3}</math> and having a vector bundle gives a connection<br> | ||
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2009년 6월 25일 (목) 18:52 판
meaning of the gague invariance
- gauge = measure
- gauge invariance 란 measurement에 있어서의 invariance를 말함
examples of renormalizable gauge theory
Abelian gauge theory
- abelian gauge theory has a duality
Non-Abelian gauge theory
differential geometry formulation
- manifold \(\mathbb R^{1,3}\) and having a vector bundle gives a connection
- connection \(A\) = special kind of 1-form
- \(dA\) = 2-form which measures the electromagnetic charge
- Then the Chern class measures the magnetic charge.
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참고할만한 자료
- http://www.zentralblatt-math.org/zmath/en/
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- http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
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