Journal
PHYSICAL REVIEW D
Volume 97, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.97.034502
Keywords
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Funding
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- MEXT [15H03651]
- Grants-in-Aid for Scientific Research [15H03651] Funding Source: KAKEN
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We have made a detailed study of the phase structure for the lattice Schwinger model with one flavor of Wilson fermion on the (m, g) plane. For numerical investigation, we develop a decorated tensor renormalization method for lattice gauge theories with fermions incorporating the Grassmann tensor renormalization. Our algorithm manifestly preserves rotation and reflection symmetries. We find not only a parity-broken phase but also a Berezinskii-Kosterlitz-Thouless (BKT) transition by evaluating the central charge and an expectation value of a projection operator into the parity-odd subspace. The BKT phase boundaries converge into the degenerated doubler pole (m, g) = (-2, 0), while the parity-breaking transition line ends at the physical pole (m, g) = (0, 0). In addition, our analysis of scaling dimensions indicates that a conformal field theory with SU(2) symmetry arises on the line of m = -2.
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