论文标题
在3D ISING模型中进行缩放的校正：MC和MCRG结果之间的比较
Corrections to scaling in the 3D Ising model: a comparison between MC and MCRG results
论文作者
论文摘要
根据蒙特卡洛（MC）模拟结果，研究了3D ISING模型中缩放模型的校正，该结果的线性晶格尺寸非常大，最大的晶格尺寸为L = 3456。当将最小的晶格尺寸从拟合中丢弃时，我们校正至缩放指数欧米茄的估计值欧米茄往往会降低至0.83。这种行为显然证实了蒙特卡洛重新归一化组（MCRG）方法的一些已知估计值，即欧米茄（Omega）约0.7，欧米茄= 0.75（5）。我们讨论了欧米茄要么确实比通常预期的要么小，要么这些欧米茄的值描述了某些瞬态行为。我们建议精炼MCRG模拟和分析以解决此问题。在与Omega的区别上，我们对关键指数ETA和NU的实际MC估计提供了稳定的值ETA = 0.03632（13）和NU = 0.63017（31），这与保险态引导方法的相一致，即ETA = 0.0362978（20）和NU = 0.62299770（40）。
Corrections to scaling in the 3D Ising model are studied based on Monte Carlo (MC) simulation results for very large lattices with linear lattice sizes up to L=3456. Our estimated values of the correction-to-scaling exponent omega tend to decrease below the usually accepted value about 0.83 when the smallest lattice sizes are discarded from the fits. This behavior apparently confirms some of the known estimates of the Monte Carlo renormalization group (MCRG) method, i.e., omega about 0.7 and omega = 0.75(5). We discuss the possibilities that omega is either really smaller than usually expected or these values of omega describe some transient behavior. We propose refining MCRG simulations and analysis to resolve this issue. In distinction from omega, our actual MC estimations of the critical exponents eta and nu provide stable values eta=0.03632(13) and nu=0.63017(31), which well agree with those of the conformal bootstrap method, i.e., eta=0.0362978(20) and nu=0.6299709(40).
