| Issue |
EPJ Web Conf.
Volume 175, 2018
35th International Symposium on Lattice Field Theory (Lattice 2017)
|
|
|---|---|---|
| Article Number | 11019 | |
| Number of page(s) | 8 | |
| Section | 11 Theoretical Developments | |
| DOI | https://doi.org/10.1051/epjconf/201817511019 | |
| Published online | 26 March 2018 | |
https://doi.org/10.1051/epjconf/201817511019
Application of tensor network method to two dimensional lattice N = 1 Wess–Zumino model
1
Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan
2
Research and Educational Center for Natural Sciences, Keio University, Yokohama 223-8521, Japan
3
Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8577, Japan
4
RIKEN Advanced Institute for Computational Science, Kobe 650-0047, Japan
* Speaker, e-mail: sakai@hep.s.kanazawa-u.ac.jp
Published online: 26 March 2018
We study a tensor network formulation of the two dimensional lattice 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 Yukawatype interaction of Majorana fermions and real scalar bosons. We present some numerical results.
© The Authors, published by EDP Sciences, 2018
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