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

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 chira...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2014-07, Vol.90 (1), Article 014508
Main Authors: Shimizu, Yuya, Kuramashi, Yoshinobu
Format: Article
Language:English
Subjects:
Cosmology
Fermions
Flavor (particle physics)
Gravitation
Infinity
Lattices
Mathematical analysis
Phase diagrams
Tensors
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Summary: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 ([infinity], 0.25) belongs to the two-dimensional Ising universality class similar to the free fermion case.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.90.014508