发表机构
Helmholtz-Institut für Strahlen- und Kernphysik, University of Bonn; Bethe Center for Theoretical Physics, University of Bonn; Northeastern University - London; Khoury College of Computer Sciences, Northeastern University（波恩大学斯特拉伦与核物理亥姆霍兹研究所; 波恩大学贝特理论物理中心; 伦敦东北大学; 东北大学库雷计算机学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明非阿贝尔格点规范理论中对偶哈密顿量在保持自由度和对易关系时不可避免地具有长程相互作用，且引入额外规范链的缓解方法在非阿贝尔情形下不一致。
AI 中文摘要
格点规范理论的哈密顿量模拟有望为QCD的内部运作提供新的见解。量子计算硬件的快速发展表明，大规模模拟可能很快就会成为现实。然而，目前对于非阿贝尔情况，尚无适用于接近连续极限模拟的高效表述，现有候选方案通常在哈密顿量的电部分具有长程相互作用。我们证明了，当在保持自由度数量和基本对易关系的同时重新参数化规范构型时，这种非局域性是不可避免的。然后，我们尝试通过引入额外的规范链和额外的约束来缓解这一问题。尽管这种方法在U(1)中成功，但我们证明了相应的构造对于非阿贝尔格点规范理论是不一致的。
英文摘要
Hamiltonian simulations of lattice gauge theories promise new insights into the inner workings of QCD. The rapid development of quantum computing hardware suggests that large scale simulations may soon become feasible. However, no efficient formulation suitable for simulations near the continuum limit is currently known for the non-Abelian case, and existing candidates typically feature long range interactions in the electric part of the Hamiltonian. We prove that such non- localities are unavoidable when the gauge configuration is reparametrised while preserving both the number of degrees of freedom and the fundamental commutation relations. We then attempt to mitigate this by introducing additional gauge links alongside additional constraints. Although this approach is successful in U(1), we prove that the corresponding construction is inconsistent for non-Abelian lattice gauge theories.
Comments14 pages
