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

Yuya Shimizu; Yoshinobu Kuramashi

doi:10.1103/PhysRevD.90.014508

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

High Energy Physics - Lattice 2014-07-30 v1 Strongly Correlated Electrons High Energy Physics - Theory

Authors: 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 $(\beta,\kappa)$ 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.

Keywords

grassmann tensor renormalization group lattice schwinger model wilson fermion phase diagram lee-yang zeros chiral susceptibility ising universality class

Cite

@article{arxiv.1403.0642,
  title  = {Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model},
  author = {Yuya Shimizu and Yoshinobu Kuramashi},
  journal= {arXiv preprint arXiv:1403.0642},
  year   = {2014}
}

Comments

9 pages, 11 figures

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