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 $(\ensuremath{\beta},\ensuremath{\kappa})$ 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 $(\ensuremath{\beta},\ensuremath{\kappa})=(0.0,0.380665(59))$ and ending at $(\ensuremath{\infty},0.25)$ belongs to the two-dimensional Ising universality class similar to the free fermion case.