紧致阿贝尔希格斯模型中的禁闭与弦断裂
Confinement, String Breaking, and Hadronization in the Compact Abelian Higgs Model
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中文总结 AI 辅助
本研究提出基于qutrit格点的紧致阿贝尔希格斯模型自旋-1截断模型，用DMRG方法研究其类弦激发能谱，通过局域化学势实现弦张力等物理量测量及弦稳定性表征，为QCD相关研究提供简化模型。
中文摘要 AI 辅助
尽管量子色动力学（QCD）的实时模拟在技术上仍遥不可及，但用于研究QCD现象学要素的简化模型却大量存在。本研究提出一个简单模型：基于qutrit格点模拟的紧致阿贝尔希格斯模型的自旋-1截断，当前模拟方法可研究其中的禁闭与弦断裂现象。在1+1维标量电动力学的低能区域，重模式被积分掉，得到满足高斯定律的自旋链有效哈密顿量。我们在约100个格点上用DMRG方法研究类弦激发的能谱，证明添加的局域化学势（作用类似外部电荷）可对弦张力、有效介子质量等感兴趣的物理特征进行参数依赖测量；改变化学势还能表征弦稳定性，这是此前禁闭格点模型研究中未评估的内容。
英文摘要
While real-time simulation of Quantum Chromodynamics remains technologically out of reach, many simplified models for studying elements of QCD phenomenology are being investigated. In this work, we present a simple model, a spin-1 truncation of the Compact Abelian Higgs Model simulated on qutrit sites, in which confinement and string breaking are accessible to current simulation methods. In the low-energy regime of 1+1 dimensional scalar electrodynamics, the heavy modes are integrated out, producing a spin chain effective Hamiltonian in which Gauss' law is automatically satisfied. We study the spectrum of string-like excitations using DMRG methods on the order of 100 sites. We demonstrate that an added, local chemical potential, playing a role analogous to external charges, permits parameter-dependent measurements of physical features of interest like the string tension and effective meson mass. Varying the chemical potential also permits a characterization of string stability not assessed in prior studies of confining lattice models.
发表机构
- The University of Iowa（爱荷华大学）
- Fermi National Accelerator Laboratory（费米国家加速器实验室）
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