Journal of High Energy Physics (Mar 2018)

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

  • Daisuke Kadoh,
  • Yoshinobu Kuramashi,
  • Yoshifumi Nakamura,
  • Ryo Sakai,
  • Shinji Takeda,
  • Yusuke Yoshimura

DOI
https://doi.org/10.1007/JHEP03(2018)141
Journal volume & issue
Vol. 2018, no. 3
pp. 1 – 33

Abstract

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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 N $$ \mathcal{N} $$ = 1 Wess-Zumino model while showing that numerical results agree with the exact solutions for the free case.

Keywords