Finite size effect

introduction

• Casimir effect is one example of finite size effect

 

 

conformal transform from the plane to cylinder

• \(z \to w=\frac{L}{2\pi}\ln z\)
• energy momentum tensor changes
  \(T_{cyl}(w)=(\frac{2\pi}{L})^2\{T_{pl}(z)z^2-\frac{c}{24}\}\)
  \(L_0 \to L_0-c/24\)
  
• the central charge emerges
• central charge is proportional to the Casimir energy, the change in the vacuum energy density brought about by the periodicity condition on the cylinder

 

 

 

표준적인 도서 및 추천도서

• 찾아볼 수학책
• 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://pythagoras0.springnote.com/
• http://math.berkeley.edu/~reb/papers/index.html
• Princeton companion to mathematics(첨부파일로 올릴것)
• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/finite_size_effect
• http://en.wikipedia.org/wiki/Casimir_effect
• http://en.wikipedia.org/wiki/Vacuum_energy
• http://en.wikipedia.org/wiki/
• 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=
  

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