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

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.

8 pages, 4 figures, talk presented at the 35th International Symposium on Lattice Field Theory (Lattice 2017), 18-24 June 2017, Granada, Spain

References in corpus (6)

• Tensor renormalization group approach to 2D classical lattice models
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential
• Efficient simulation of Grassmann Tensor Product States
• Supersymmetry Breaking in Low Dimensional Models
• Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino model

Cited by in corpus (2)

• Triad representation for the anisotropic tensor renormalization group in four dimensions
• Forward-mode automatic differentiation for the tensor renormalization group and its relation to the impurity method