$O(N)$普适类中普适振幅比的精确计算：$\mathcal{O}(\partial^4)$阶导数展开结果
Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}(\partial^4)$
摘要：
近年来，非微扰重整化群的导数展开已被证明是精确计算临界量的一个非常有效的工具。特别是，最近在了解其收敛特性方面取得的进展允许估计误差线以及精确计算许多关键量。在这项工作中，我们将以前的研究扩展到计算几个通用的振幅比的$O(N)$模型的临界制度使用的非微扰重整化群的导数展开的顺序$\mathcal{O}(\partial^4)$三维系统。
英文摘要：
In the last few years the derivative expansion of the Non-Perturbative Renormalization Group has proven to be a very efficient tool for the precise computation of critical quantities. In particular, recent progress in the understanding of its convergence properties allowed for an estimate of the error bars as well as the precise computation of many critical quantities. In this work we extend previous studies to the computation of several universal amplitude ratios for the critical regime of $O(N)$ models using the derivative expansion of the Non-Perturbative Renormalization Group at order $\mathcal{O}(\partial^4)$ for three dimensional systems.
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