"Finite size effect"의 두 판 사이의 차이

2009년 8월 9일 (일) 17:56 판

Casimir effect is one example of finite size effect
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

\(z \to w=\frac{L}{2\pi}\ln z\)
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

@@ 3번째 줄: / 3번째 줄: @@
 * Casimir effect is one example of finite size effect
 * any kind of constraint or boudary conditions on the the zero-point modes of the quantum fields in question, including backgrounds such as gravity
-* Hamiltonian value associated wih the vacuum or ground state, called zero-point energy
+* 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
+*
@@ 33번째 줄: / 35번째 줄: @@
 * [[2009년 books and articles|찾아볼 수학책]]
+*
 * [http://www.springerlink.com/content/f374835722j24555/ Conformal invariance and finite size effects in critical two dimensional statistical models]<br>
 ** Claude Itzykson