CP ^{ N-1 }理论普适振幅的大N估计及其与JQ模型的比较
Large-N estimates of universal amplitudes of the CP^{N-1} theory and comparison with the JQ model
摘要：
本文给出了CP^{N-1}场论大N极限下某些有限尺寸标度函数和普适振幅比的计算。我们特别注意均匀磁化率，自旋刚度和比热。场论论证表明，正方晶格S=1/2反铁磁体中Neel和价键固态之间的相变的长波长描述有望成为非紧致CP ^1场论。我们提供了一个详细的比较我们的场论计算和量子Monte Carlo数据接近Neel-VBS过渡的S=1/2正方形晶格模型与竞争的四自旋相互作用（JQ模型）。
英文摘要：
We present computations of certain finite-size scaling functions and universal amplitude ratios in the large-N limit of the CP^{N-1} field theory. We pay particular attention to the uniform susceptibility, the spin stiffness and the specific heat. Field theoretic arguments have shown that the long-wavelength description of the phase transition between the Neel and valence bond solid states in square lattice S=1/2 anti-ferromagnets is expected to be the non-compact CP^1 field theory. We provide a detailed comparison between our field theoretic calculations and quantum Monte Carlo data close to the Neel -VBS transition on a S=1/2 square-lattice model with competing four-spin interactions (the JQ model).
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