EPJ Web Conf.
Volume 175, 201835th International Symposium on Lattice Field Theory (Lattice 2017)
|Number of page(s)||8|
|Section||11 Theoretical Developments|
|Published online||26 March 2018|
Application of tensor network method to two dimensional lattice N = 1 Wess–Zumino model
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: email@example.com
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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