截断格点施温格模型中的时空超对称性
Spacetime Supersymmetry in the Truncated Lattice Schwinger Model
AI总结:
研究(1+1)D截断格点施温格和阿贝尔-希格斯模型,通过截断电场本征值便于量子模拟,揭示模型普遍特征,如麦克斯韦项系数变号时超对称量子临界点出现等
摘要:
(1+1)D规范理论因量子模拟平台的实验实现而重新受到关注。本文重新审视(1+1)D截断格点大质量施温格模型和截断格点阿贝尔-希格斯模型,揭示此前被忽视的普遍特征,包括麦克斯韦项系数变号时超对称量子临界点的出现等。
英文摘要:
Gauge theories in (1+1)D have attracted renewed attention partially due to their experimental realizations in quantum simulation platforms. In this work, we revisit the truncated lattice massive Schwinger model and the truncated lattice Abelian-Higgs model in (1+1)D, where to facilitate quantum simulation, the electric field eigenvalues are truncated to a finite subset while preserving the exact gauge and global symmetries. We uncover previously overlooked universal features in these models, including the emergence of a supersymmetric quantum critical point when the Maxwell term's coefficient changes sign. Our primary focus is the truncated lattice Schwinger model at $θ=0$, a model not equivalent to familiar spin models. We find that upon reversing the sign of the Maxwell term, the second-order charge conjugation symmetry breaking transition (or confinement-deconfinement transition in a sense) can become first-order. Furthermore, the two types of transitions are connected by a supersymmetric critical point in the tricritical Ising universality class. In the case of truncated Abelian-Higgs model at $θ=0$, which we find to be equivalent to the quantum Blume-Capel model, the very existence of a symmetry-breaking phase requires a negative-sign Maxwell term. Similarly, there is a tricritical Ising point separating first-order and second-order phase transitions.
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