Grassmann tensor renormalization group approach to one-flavor lattice Schwinger model

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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 (0.25) belongs to the two-dimensional Ising universality class similar to the free fermion case. © 2014 American Physical Society.

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Shimizu, Y., & Kuramashi, Y. (2014). Grassmann tensor renormalization group approach to one-flavor lattice Schwinger model. Physical Review D - Particles, Fields, Gravitation and Cosmology, 90(1). https://doi.org/10.1103/PhysRevD.90.014508

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