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

수학노트
둘러보기로 가기 검색하러 가기
3번째 줄: 3번째 줄:
 
* This is not a quantum theory.
 
* This is not a quantum theory.
 
* This can be regarded as a generalization of electromagetics., i.e. bundle + connections
 
* This can be regarded as a generalization of electromagetics., i.e. bundle + connections
 +
* looks like the coordinate invariance of gravity theory
 
* [[Gauge theory]]
 
* [[Gauge theory]]
 
*  Usually, non-abelian gauge theory is called the YM theory.<br>
 
*  Usually, non-abelian gauge theory is called the YM theory.<br>
11번째 줄: 12번째 줄:
 
 
 
 
  
−
<h5>original YM theory</h5>
+
<h5>original Yang-Mills model</h5>
  
 +
*  three kinds of photon<br>
 +
** one ordinary photon
 +
** two electrically charged photons with spin 1 which is physically impossible to exist
 
*  massless gauge fields<br>
 
*  massless gauge fields<br>
 
** for example, electromagnetic field(the only example at that time)
 
** for example, electromagnetic field(the only example at that time)
 +
 +
 
 +
 +
 
 +
 +
<h5>weak force</h5>
 +
 +
 
  
 
 
 
 

2010년 4월 4일 (일) 15:48 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.

 

 

하위주제들

 

 

 

하위페이지

 

 

재미있는 사실

 

 

관련된 단원

 

 

많이 나오는 질문

 

관련된 고교수학 또는 대학수학

 

 

관련된 다른 주제들

 

 

표준적인 도서 및 추천도서

 

 

참고할만한 자료

 

 

이미지 검색

 

 

동영상

 

관련기사

네이버 뉴스 검색 (키워드 수정)

 

블로그

 

 

 

TeX 작업
원본 주소 "https://wiki.mathnt.net/index.php?title=Yang-Mills_Theory(Non-Abelian_gauge_theory)&oldid=35798"