"Finite size effect"의 두 판 사이의 차이

수학노트
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* [[2009년 books and articles|찾아볼 수학책]]
 
* [[2009년 books and articles|찾아볼 수학책]]
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* [http://www.springerlink.com/content/f374835722j24555/ Conformal invariance and finite size effects in critical two dimensional statistical models]<br>
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** Claude Itzykson
 
* [http://www.amazon.com/Casimir-Effect-Critical-Systems/dp/9810218451 Casimir effect in critical systems]<br>
 
* [http://www.amazon.com/Casimir-Effect-Critical-Systems/dp/9810218451 Casimir effect in critical systems]<br>
 
** Michael Krech
 
** Michael Krech

2009년 8월 1일 (토) 15:06 판

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

 

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