Finite size effect

introduction

• Casimir effect in QED is one example of finite size effect
• stree
• any kind of constraint or boudary conditions on the the zero-point modes of the quantum fields in question, including backgrounds such as gravity
• In a model without boundary conditions, the Hamiltonian value associated wih the vacuum or ground state, called zero-point energy, is usually discarded because, despite being infinite, may be reabsorbed in a suitable redefinition of the energy origin
• there are several ways to put such an adjustment into practice, normal ordering being oneof the most popular
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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

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• 찾아볼 수학책
• The Casimir Effect: Physical Manifestations of Zero-Point Energy
  
  • [1]Kimball A. Milton
• Conformal invariance and finite size effects in critical two dimensional statistical models
  
  • Claude Itzykson
• Casimir effect in critical systems
  
  • Michael Krech
• http://gigapedia.info/1/Casimir+effect
• 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://ko.wikipedia.org/wiki/카시미르효과
• 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/
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블로그

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