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

Physical Review D (2018) 97(5)
DOI: 10.1103/PhysRevD.97.054511
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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.

Figures

  • FIG. 1. Coarse-graining along the x1 direction.
  • FIG. 2. Update of indices from n to n⋆.
  • FIG. 3. Coarse-graining procedure for the impure tensor.
  • FIG. 4. Coarse-graining procedure for two impure tensors in the case of n1 þ 1̂ ¼ n2.
  • FIG. 6. Free energy as a function of m.
  • FIG. 5. Coarse-graining procedure for two impure tensors in the case of n1 2̂ ¼ n2. 0 0.5 1 1.5 2 m
  • FIG. 7. Error of free energy defined by Eq. (57) as a function of m.
  • FIG. 9. Chiral condensate as a function of m.

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APA

Yoshimura, Y., Kuramashi, Y., Nakamura, Y., Takeda, S., & Sakai, R. (2018). Calculation of fermionic Green functions with Grassmann higher-order tensor renormalization group. Physical Review D, 97(5). https://doi.org/10.1103/PhysRevD.97.054511

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