"Renormalization"의 두 판 사이의 차이

수학노트
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* way of pulling out sensible answers from Feynman diagrams that explode
 
* way of pulling out sensible answers from Feynman diagrams that explode
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<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">regularization</h5>
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<h5 style="margin: 0px; line-height: 2em;">regularization</h5>
  
 
*  root of the problem<br>
 
*  root of the problem<br>
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<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">QED re</h5>
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<h5 style="margin: 0px; line-height: 2em;">QED renormalization</h5>
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*  three basic divergent diagrams and three counter-terms to match and three infinite constants<br>
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*  electron self-energy diagram transforms the bare electron mass into the physical ones<br>
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*  vertex diagram links bare electri charge to phstical electric charge<br>
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*  photon self energy is related to the transformation of bare electric field strngth to physical field strength<br>
  
 
 
 
 
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">재미있는 사실</h5>
  
 
 
 
 
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<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%;">관련된 단원</h5>
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<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%;">많이 나오는 질문</h5>
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">많이 나오는 질문</h5>
  
 
*  네이버 지식인<br>
 
*  네이버 지식인<br>
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<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%;">관련된 고교수학 또는 대학수학</h5>
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련된 고교수학 또는 대학수학</h5>
  
 
 
 
 
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<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련된 다른 주제들</h5>
  
 
 
 
 
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<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%;">표준적인 도서 및 추천도서</h5>
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* [[2009년 books and articles|찾아볼 수학책]]
 
* [[2009년 books and articles|찾아볼 수학책]]
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* http://www.zentralblatt-math.org/zmath/en/
 
* http://www.zentralblatt-math.org/zmath/en/
 
* http://pythagoras0.springnote.com/
 
* http://pythagoras0.springnote.com/
* http://math.berkeley.edu/~reb/papers/index.html
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* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
  
 
* http://ko.wikipedia.org/wiki/
 
* http://ko.wikipedia.org/wiki/
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* http://commons.wikimedia.org/w/index.php?title=Special%3ASearch&search=
 
 
 
 
 
 
 
 
 
 
 
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* http://www.youtube.com/results?search_type=&search_query=
 
 
 
 
 
 
 
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네이버 뉴스 검색 (키워드 수정)
 
 
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
 
 
 
 
 
 
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* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
 
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
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2009년 12월 22일 (화) 20:38 판

renormalization
  • way of pulling out sensible answers from Feynman diagrams that explode
  • there are two parts in the renormailization program
    • regularization - the divergences must be written down in some way so that they can be compared, added and subtracted
    • renormalization proper - the various divergences must be gathered together and extracted from the rest of the calculation

 

 

regularization
  • root of the problem
    • probability of creating particles of colossal energies
    • in terms of Feynman diagrams, the momentum in a loop can run away to infinity
  • dimensional regularization
    • regularization scheme (especially good in QCD)
    • regard the dimension as a continuous quantity
    • coupling constant changes accordingly as the dimension changes continuously
    • we get a new parameter called regularization scheme

 

 

QED renormalization
  • three basic divergent diagrams and three counter-terms to match and three infinite constants
  • electron self-energy diagram transforms the bare electron mass into the physical ones
  • vertex diagram links bare electri charge to phstical electric charge
  • photon self energy is related to the transformation of bare electric field strngth to physical field strength

 

 

 

하위주제들

 

 

 

하위페이지

 

 

재미있는 사실

 

 

관련된 단원

 

 

많이 나오는 질문

 

관련된 고교수학 또는 대학수학

 

 

관련된 다른 주제들

 

 

표준적인 도서 및 추천도서

 

 

참고할만한 자료

 

 

블로그

 

 

 

TeX 작업