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C-theorem : ウィキペディア英語版
C-theorem

In theoretical physics, specifically quantum field theory, ''C''-theorem states that there exists a positive real function, C(g^_{}, which has the following properties:
*C(g^{}_i,\mu) decreases monotonically under the renormalization group (RG) flow.
*At fixed points of the RG flow, which are specified by a set of fixed-point couplings g^
*_i, the function C(g^
*_i,\mu)=C_
* is a constant, independent of energy scale.
The theorem formalizes the notion that theories at high energies have more degrees of freedom than theories at low energies and that information is lost as we flow from the former to the latter.
==Two-dimensional case==
Alexander Zamolodchikov proved in 1986 that two-dimensional quantum field theory always has such a ''C''-function. Moreover, at fixed points of the RG flow, which correspond to conformal field theories, Zamolodchikov's ''C''-function is equal to the central charge of the corresponding conformal field theory,〔Alexander Zamolodchikov|Zamolodchikov, A. B.]] (1986). ("Irreversibility" of the Flux of the Renormalization Group in a 2-D Field Theory ), ''JETP Lett'' 43, pp 730–732.〕 which lends the name ''C'' to the theorem.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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