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

2017/11/22 by Yusuke Yoshimura, Y. Kuramashi, Yoshinobu Kuramashi +3 · 42 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Group (periodic table) #Mathematical physics #Mathematics #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Renormalization group #Tensor (intrinsic definition) #hep-lat

paper · pdf · doi:10.1103/physrevd.97.054511

published in Physical review. D/Physical review. D. 97(5) (American Physical Society)

arxiv created 2017/11/22 · openalex publication_date 2018/03/22 · arxiv updated 2018/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions

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