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Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion

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arxiv 1712.07808 v1 pith:VL2DL4WF submitted 2017-12-21 hep-lat cond-mat.str-elquant-ph

Yuya Shimizu , Yoshinobu Kuramashi This is my paper · ORCID
classification hep-latcond-mat.str-elquant-ph
keywords latticephasetransitionberezinskii-kosterlitz-thoulessfermionflavorlinemodel
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We have made a detailed study of the phase structure for 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 $\mathrm{SU}(2)$ symmetry arises on the line of $m=-2$.

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Cited by 6 Pith papers

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