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arXiv · 1711.01892

Application of tensor network method to two dimensional lattice $\mathcal{N}=1$ Wess-Zumino model

Ryo Sakai·Daisuke Kadoh·Yoshinobu Kuramashi·Yoshifumi Nakamura·Shinji Takeda·Yusuke Yoshimura
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Abstract

We study a tensor network formulation of the two dimensional lattice $\mathcal{N}=1$ Wess-Zumino model with Wilson derivatives for both fermions and bosons. The tensor renormalization group allows us to compute the partition function without the sign problem, and basic ideas to obtain a tensor network for both fermion and scalar boson systems were already given in previous works. In addition to improving the methods, we have constructed a tensor network representation of the model including the Yukawa-type interaction of Majorana fermions and real scalar bosons. We present some numerical results.

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Ryo Sakai, Daisuke Kadoh, Yoshinobu Kuramashi, Yoshifumi Nakamura, Shinji Takeda, Yusuke Yoshimura. 2017-11-06. Application of tensor network method to two dimensional lattice $\mathcal{N}=1$ Wess-Zumino model. https://doi.org/10.1051/epjconf/201817511019

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