二维规范理论中的精确群不变疤痕塔
Exact group invariant scar towers in two dimensional gauge theories
- CERN（欧洲核子研究中心）
- Institute for Theoretical Physics, ETH Zurich（苏黎世联邦理工学院理论物理研究所）
- Department of Physics, University of the Basque Country UPV/EHU（巴斯克大学物理系）
- IKERBASQUE, Basque Foundation for Science（伊克尔巴斯科奎，巴斯克科学基金会）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究在二维规范理论中构造了精确的群不变疤痕塔，通过η配对算符实现，并揭示了其低纠缠、长程关联及约瑟夫森类动力学特性。
AI中文摘要：
我们在具有两种无质量基本费米子的二维规范理论中构造了精确的多体疤痕塔。对于带相反电荷的费米子，疤痕子空间由规范中性的η配对算符生成，并允许纯代数构造。精确对角化方法揭示了疤痕态中异常低的纠缠和长程配对关联。电荷共轭将η塔映射到等电荷模型的矢量味极化扇区，从而将其解释为具有约瑟夫森类相位动力学的相干味模式。有限费米子质量将受保护配对与正交通道混合，并破坏精确塔。所识别的疤痕塔可以在大族格点场论中代数实现，揭示了这些态的普适性。我们的结果为具有非平凡连续统解释的规范理论中的不变疤痕子空间提供了解析构造。
英文摘要：
We construct exact many-body scar towers in two dimensional gauge theories with two flavors of massless fundamental fermions. For oppositely charged fermions, the scar subspace is generated by a gauge-neutral $η$-pairing operator, and admits a purely algebraic construction. Exact diagonalization methods reveal anomalously low entanglement and long-range pair correlations in the scar states. Charge conjugation maps the $η$-tower to a vector-flavor polarization sector of the equal charge model, yielding an interpretation as a coherent flavor mode with Josephson-like phase dynamics. Finite fermion masses mix the protected pair with an orthogonal channel and destroy the exact tower. The identified scar tower can be algebraically realized in a large family of lattice field theories, revealing a universal character of these states. Our results provide an analytical construction of invariant scar subspaces in a gauge theory with a nontrivial continuum interpretation.
