Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group

Yusuke Yoshimura; Yoshinobu Kuramashi; Yoshifumi Nakamura; Shinji Takeda; Ryo Sakai

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Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group

机译：用格拉斯曼高阶张量重归一化组计算费米离子格林函数

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We develop a calculational method for fermionic Green functions in the framework of Grassmann higher-order tensor renormalization group. The validity of the method is tested by applying it to the three-dimensional free Wilson fermion system. We compare the numerical results for the chiral condensate and two-point correlation functions with the exact ones obtained by analytical methods.

机译：我们在格拉斯曼高阶张量重归一化组的框架内开发了铁磁格林函数的计算方法。通过将其应用于三维自由威尔逊费米子系统，测试了该方法的有效性。我们将手性冷凝物和两点相关函数的数值结果与通过分析方法获得的精确结果进行了比较。

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《Physical review, D》 |2018年第5期|共10页
作者
Yusuke Yoshimura; Yoshinobu Kuramashi; Yoshifumi Nakamura; Shinji Takeda; Ryo Sakai;
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1. Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group [J] . Yusuke Yoshimura, Yoshinobu Kuramashi, Yoshifumi Nakamura, Physical review, D . 2018,第5aPta1期

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2. Calculation of higher-order moments by higher-order tensor renormalization group [J] . Morita Satoshi, Kawashima Naoki Computer physics communications . 2019,第期

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3. Four-Component Relativistic Density Functional Theory Calculations of EPR g- and Hyperfine-Coupling Tensors Using Hybrid Functionals: Validation on Transition-Metal Complexes with Large Tensor Anisotropies and Higher-Order Spin-Orbit Effects [J] . Gohr Sebastian, Hrobarik Peter, Repisky Michal, The journal of physical chemistry, A. Molecules, spectroscopy, kinetics, environment, & general theory . 2015,第51期

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4. Fast Higher-Order Functions for Tensor Calculus with Tensors and Subtensors [C] . Cem Bassoy, Volker Schatz International conference on computational science . 2018

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5. Tensor renormalization group methods for spin and gauge models. [D] . Zou, Haiyuan. 2014

机译：自旋和量规模型的张量重归一化组方法。
6. Renormalizing SMD: The Renormalization Approach and Its Use in Long Time Simulations and Accelerated PMF Calculations of Macromolecules [O] . Anatoly Dryga, Arieh Warshel -1

机译：重整化smD：重整化途径和长时间的模拟使用和大分子的加速pmF计算
7. Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group [O] . Yoshimura, Yusuke, Kuramashi, Yoshinobu, Nakamura, Yoshifumi, 2017

机译：用Grassmann高阶法计算费米子格林函数张量重整化群
8. Fermionic Green's Function and Fermionic Determinant in Massless QCD sub 2 [R] . Arodz, H. 1979

机译：Fermionic Green在无质量QCD 2中的功能和费米子决定因素

Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group

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