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GrassmannTN: a Python package for Grassmann tensor network computations

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arxiv 2309.07557 v3 pith:564ARGVN submitted 2023-09-14 hep-lat cond-mat.stat-mechhep-th

classification hep-latcond-mat.stat-mechhep-th
keywords tensorgrassmanncomputationgrassmanntnpackagenetworkpythonaround
verification ladder T0 review T1 audit T2 compute T3 formal
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We present GrassmannTN, a Python package for the computation of the Grassmann tensor network. The package is built to assist in the numerical computation without the need to input the fermionic sign factor manually. It prioritizes coding readability by designing every tensor manipulating function around the tensor subscripts. The computation of the Grassmann tensor renormalization group and Grassmann isometries using GrassmannTN are given as the use case examples.

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Cited by 2 Pith papers

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  1. Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group

    hep-lat 2026-02 conditional novelty 6.0 of 10

    For one-flavor Gross-Neveu-Wilson fermions, the Aoki phase is bounded by c=1/2 Ising critical lines and terminates at strong coupling, while c=1 lines separate topological and trivial insulators.

  2. Toward tensor renormalization group study of lattice QCD

    hep-lat 2025-01 conditional novelty 3.0 of 10

    Tensor renormalization group methods for multi-flavor and non-Abelian gauge theories are summarized with 2D Z2 and 3D SU(2) and SU(3) proof-of-principle results.

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