Gauge theory

meaning of the gague invariance

• gauge = measure
• gauge invariance 란 measurement에 있어서의 invariance를 말함
• Lagrangian should be gauge invariant.

 

 

 

examples of renormalizable gauge theory

• QED
  
• QCD
  
• Particle physics : Quirks and the Standard Models
  

 

 

Abelian gauge theory

• abelian gauge theory has a duality

 

 

Non-Abelian gauge theory

• Yang-Mills 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.
  

 

 

 

 

3d Chern-Simons theory

3d 

 

 

메모

http://www.google.com/search?hl=en&rls=IBMA,IBMA:2008-50,IBMA:en&q=brief+introduction+to+principal+bundles+connections&aq=f&oq=&aqi=

 

 

표준적인 도서 및 추천도서

• 찾아볼 수학책
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=

 

 

참고할만한 자료

• http://www.zentralblatt-math.org/zmath/en/
•  
• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/principal_bundle
• http://viswiki.com/en/
• http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
• http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
• 다음백과사전 http://enc.daum.net/dic100/search.do?q=

 

 

이미지 검색

• http://commons.wikimedia.org/w/index.php?title=Special%3ASearch&search=

 

 

동영상

• http://www.youtube.com/results?search_type=&search_query=

 

관련기사

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=

 

블로그

• 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
• 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=