二维Yukawa理论中的束缚态：来自哈密顿截断方法
Bound States in 2d Yukawa Theory from Hamiltonian Truncation
- Université de Genève（日内瓦大学）
- Heriot-Watt University（赫瑞-瓦特大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文用哈密顿截断方法研究二维Yukawa理论谱，扩展框架以包含费米子及对数紫外发散，追踪束缚态演化并验证弱耦合行为，为向Thirring/Sine-Gordon极限延伸奠定基础。
AI中文摘要：
我们利用哈密顿截断方法研究二维Yukawa理论的谱，重点关注束缚态。我们将哈密顿截断有效理论框架扩展到包含费米子和对数紫外发散。加入这些修正后，能级作为截断的函数以幂次计数预测的标度收敛。我们确定了一种策略，用以追踪费米子-反费米子束缚态从弱耦合到强耦合的演化，并研究其束缚能，发现在弱耦合下与有限体积微扰理论吻合良好。最后，我们探索了重标量区域，向大质量Thirring/Sine-Gordon极限靠近，恢复了预期的弱耦合行为，并概述了如何将计算推广至该极限。
英文摘要：
We study the spectrum of two-dimensional Yukawa theory using Hamiltonian truncation, with a focus on bound states. We extend the framework of Hamiltonian truncation effective theory to include fermions and logarithmic UV divergences. With these corrections, the energy levels converge as a function of the cutoff with the scaling predicted by power counting. We identify a strategy to follow the evolution of fermion-antifermion bound states from weak to strong coupling, and investigate its binding energy, finding good agreement with finite-volume perturbation theory at weak coupling. Finally, we explore the heavy-scalar regime toward the massive Thirring/Sine-Gordon limit, recovering the expected weak-coupling behavior and outlining how the calculation can be extended toward this limit.
