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

preprint2014arXivOpen access

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 (β,κ)(β,κ) 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 (β,κ)=(0.0,0.380665(59))(β,κ)=(0.0,0.380665(59)) and ending at (∞,0.25)(\infty,0.25) belongs to the two-dimensional Ising universality class similarly to the free fermion case.

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