Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model

Abstract

We apply the Grassmann tensor renormalization group to the lattice regularized Schwinger model with one-flavor of the Wilson fermion. We study the phase diagram in the $(\beta ,\kappa )$ plane performing a detailed analysis of the scaling behavior of the Lee-Yang zeros and the peak height of the chiral susceptibility. Our results strongly indicate that the whole range of the phase transition line starting from $(\beta ,\kappa )=(0.0,0.380665(59))$ and ending at $(\infty ,0.25)$ belongs to the two-dimensional Ising universality class similarly to the free fermion case.

9 pages, 11 figures

References in corpus (2)

• Tensor renormalization group approach to 2D classical lattice models
• Efficient simulation of relativistic fermions via vertex models

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