Pade酉化：一个批判性的观点

关于低能振幅Pade么正化的几点注记

Some Remarks on the Pade Unitarization of Low-Energy Amplitudes

我们提出了一个关键的分析Pade为基础的方法的低能量振幅的unitarization。我们表明，使用某些帕德近似来描述共振区域可能会导致不准确的决定。特别是，我们发现，在线性西格玛模型的unitarization的低能量振幅通过反振幅方法产生本质上不正确的结果的质量和宽度的西格玛。Pades的替代序列进行了研究，我们发现，对角序列（即，[N/N]）具有更好的收敛特性。

利用多点Padé逼近与机器学习技术探索(2+1)味QCD中的临界点

Exploring the Critical Points in QCD with Multi-Point Padé and Machine Learning Techniques in (2+1)-flavor QCD

本文通过多点Padé逼近和MADE机器学习模型分析(2+1)味QCD在虚化学势下的模拟数据，确定Lee-Yang边缘奇点并外推QCD临界点。

Searching for the QCD critical point along the pseudo-critical/freeze-out line using Padé-resummed Taylor expansions of cumulants of conserved charge fluctuations

Using high-statistics datasets generated in (2+1)-flavor QCD calculations at finite temperature we construct estimators for the radius of convergence from an eighth order series expansion of the pressure as well as the number density. We show that the estimator for pressure and number density will be identical in the asymptotic limit. In the vicinity of the pseudo-critical temperature, $T_{pc}\simeq 156.5$~MeV, we find the estimator of the radius of convergence to be $μ_B/T \gtrsim\ 3$ for strangeness-neutral matter. We also present results for the pole structure of the Padé approximants for t…

非线性西格玛模型中π介子在有限温度下的衰变常数

Pion Decay Constant at Finite Temperature in the Nonlinear Sigma Model

在$N$大极限下，计算了$O(N)$非线性西格玛模型在临界温度附近的π介子衰变常数.利用已知的低温行为，我们构造了一个Padé近似，得到了$f_π(T)$在所有温度下的行为.

n > 3的三维O（n）对称模型的临界指数

Critical exponents for 3D O(n)-symmetric model with n > 3

基于六圈重整化群（RG）展开，对n > 3的三维O（n）对称模型的临界指数进行了估计.一个简单的Pade-Borel技术被用于RG系列的重新计算和Pade逼近[L/1]示出给所有计算量的相当好的数值结果。对于大的n，不动点位置g_c和临界指数也直接由六圈展开式确定，而不涉及重算过程。对所得数值的分析表明，当n超过28时，只要g_c和临界指数的精度达到0.01左右，就不必再重算了。此外，所执行的计算的结果用于估计1/n-展开的数值精度。相同的值n = 28所示的域的下边界的作用，这种近似提供了高精度的估计的临界指数。

Critical thermodynamics of the two-dimensional systems in five-loop renormalization-group approximation

The RG functions of the 2D $n$-vector $ϕ^4$ model are calculated in the five-loop approximation. Perturbative series for the $β$ function and critical exponents are resummed by the Pade-Borel and Pade-Borel-Leroy techniques, resummation procedures are optimized and an accuracy of the numerical results is estimated. In the Ising case $n = 1$ as well as in the others ($n = 0$, $n = -1$, $n = 2, 3,...32$) an account for the five-loop term is found to shift the Wilson fixed point location only briefly, leaving it outside the segment formed by the results of the corresponding lattice calculations; …