Schwinger模型的分形态
Fractal states of the Schwinger model
AI总结：
该研究揭示了格点Schwinger模型基态的自相似性，开发了递归程序预测基态能量，仅需少量项即可精确预测数百格点的能量，为理解多体波函数复杂性和连接凝聚态与高能物理提供了新途径。
摘要：
格点Schwinger模型（SM）是1+1维QED的离散版本，是格点规范理论中研究充分的测试平台。在此，我们研究SM的分形性质。我们揭示了基态的自相似性，这使得能够开发一种递归程序来寻找基态波函数并预测基态能量。我们提供了使用分形拟设和自动化分形图像处理软件包递归计算基态波函数的结果。在某些参数范围内，仅需少数几项，我们的递归程序就能预测接近精确值的基态能量，适用于数百个格点。我们的发现为理解多体波函数计算复杂性（从分形性质角度）以及发现凝聚态与高能格点模型之间的新联系铺平了道路。
英文摘要：
The lattice Schwinger model (SM), the discrete version of QED in 1+1 dimensions, is a well-studied test bench for lattice gauge theories. Here we study the fractal properties of the SM. We reveal the self-similarity of the ground state, which allows one to develop a recurrent procedure for finding the ground-state wave functions and predicting ground-state energies. We provide the results of recurrently calculating ground-state wave functions using the fractal ansatz and automized software package for fractal image processing. In certain parameter regimes, just a few terms are enough for our recurrent procedure to predict ground state energies close to the exact ones for several hundreds of sites. Our findings pave the way to understanding the complexity of calculating many-body wave functions in terms of their fractal properties as well as finding new links between condensed matter and high-energy lattice models.
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