Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion
Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion
复制标题
具有威尔逊费米子一种风格的格子施温格模型中的 Berezinskii-Kosterlitz-Thouless 转变
DOI：
10.1103/physrevd.97.034502
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发表时间：
2018
影响因子：
5
通讯作者：
Yuya Shimizu and Yoshinobu Kuramashi
中科院分区：
文献类型：
--
作者：
Ikeda;H.;et al.;Yuya Shimizu and Yoshinobu Kuramashi
本文详细研究了平面上有一种Wilson费米子的格点Schwinger模型的相结构。在数值研究方面，我们发展了一种适用于费米子格点规范理论的修饰张量重整化方法。我们的算法显然保留了旋转和反射对称性。通过计算中心电荷和投影算子到奇宇称子空间的期望值，我们不仅发现宇称破缺相，而且发现Berezinskiii-Kosterlitz-无宇称（BKT）跃迁。BKT相位边界收敛于退化倍极，而宇称破缺跃迁线终止于物理极点。此外，我们对标度维数的分析表明，在线上出现了SU（2）对称的共形场论。
We have made a detailed study of the phase structure for the lattice Schwinger model with one flavor of Wilson fermion on theplane. 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, while the parity-breaking transition line ends at the physical pole. In addition, our analysis of scaling dimensions indicates that a conformal field theory with SU(2) symmetry arises on the line of.