CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY
CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY
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DOI：
10.1103/physrevlett.56.742
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发表时间：
1986-02-17
影响因子：
8.6
通讯作者：
NIGHTINGALE, MP
中科院分区：
文献类型：
--
作者：
BLOTE, HWJ;CARDY, JL;NIGHTINGALE, MP
我们表明，共形不变的二维系统，在临界状态下的宽度L的无限长条的自由能的有限尺寸修正的振幅是线性相关的共形异常数c，对于各种边界条件。结果得到了重整化群理论和数值计算的证实。它还与相互作用一维场论中卡西米尔效应的大小有关，并与量子链中的低温比热有关。
We show that for conformally invariant two-dimensional systems, the amplitude of the finite-size corrections to the free energy of an infinitely long strip of width L at criticality is linearly related to the conformal anomaly number c, for various boundary conditions. The result is confirmed by renormalization-group arguments and numerical calculations. It is also related to the magnitude of the Casimir effect in an interacting one-dimensional field theory, and to the low-temperature specific heat in quantum chains.