Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group
Yusuke Yoshimura, Yoshinobu Kuramashi, Yoshifumi Nakamura, Shinji, Takeda, and Ryo Sakai
TL;DR
This paper introduces a new computational approach for calculating fermionic Green functions using Grassmann higher-order tensor renormalization group, validated on a 3D free Wilson fermion system with results matching analytical solutions.
Contribution
The paper develops a novel method for fermionic Green function calculations within the Grassmann tensor network framework, expanding computational tools for fermionic systems.
Findings
Method accurately reproduces analytical results for chiral condensate
Two-point correlation functions match exact solutions
Validated on three-dimensional free Wilson fermion system
Abstract
We develop 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 three-dimensional free Wilson fermion system. We compare the numerical results for chiral condensate and two-point correlation functions with the exact ones obtained by analytical methods.
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