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Tensor network formulation for two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model

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arxiv 1801.04183 v2 pith:TARCH666 submitted 2018-01-12 hep-lat

Daisuke Kadoh , Yoshinobu Kuramashi , Yoshifumi Nakamura , Ryo Sakai , Shinji Takeda , Yusuke Yoshimura This is my paper · ORCID
classification hep-lat
keywords networktensorapproachesformulationlatticemathcalmodelproblem
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abstract

Supersymmetric models with spontaneous supersymmetry breaking suffer from the notorious sign problem in stochastic approaches. By contrast, the tensor network approaches do not have such a problem since they are based on deterministic procedures. In this work, we present a tensor network formulation of the two-dimensional lattice $\mathcal{N}=1$ Wess-Zumino model while showing that numerical results agree with the exact solutions for the free case.

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Cited by 5 Pith papers

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  4. Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Numerical tensor-network results locate a critical point at theta=pi in the 2D CP(1) model, consistent with Haldane's conjecture.

  5. Multi-particle states investigation with tensor renormalization group method

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