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arXiv · 1403.0642

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

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

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Yuya Shimizu, Yoshinobu Kuramashi. 2014-03-04. Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model. https://doi.org/10.1103/physrevd.90.014508

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