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arXiv 2008.01349quant-phhep-lat
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量子和经典计算中含动力学物质的紧致QED的规范无冗余形式

A gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations

Julian Bender, Erez Zohar

备注：
16 pages, 5 figures, v2: as published
发表信息：
Phys. Rev. D 102, 114517 (2020)
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摘要：

我们介绍了一种方法来表达紧凑的量子电动力学与动态物质的二维和三维空间晶格在规范冗余的方式，同时保持平移不变性。通过变换到一个旋转坐标系，使物质与规范约束解耦，我们可以用对偶算符来表示规范场算符。在两个空间维度中，对偶表示完全没有任何局部约束。在三维空间中，对偶算符之间的局部约束仍然存在，但只涉及规范场自由度（而不是物质自由度）。这些公式，减少了所需的希尔伯特空间维数，可能是有用的数值（经典）哈密顿计算和量子模拟或计算。

英文摘要：

We introduce a way to express compact quantum electrodynamics with dynamical matter on two- and three-dimensional spatial lattices in a gauge redundancy-free manner while preserving translational invariance. By transforming to a rotating frame, where the matter is decoupled from the gauge constraints, we can express the gauge field operators in terms of dual operators. In two space dimensions, the dual representation is completely free of any local constraints. In three space dimensions, local constraints among the dual operators remain but involve only the gauge field degrees of freedom (and not the matter degrees of freedom). These formulations, which reduce the required Hilbert space dimension, could be useful for both numerical (classical) Hamiltonian computations and quantum simulation or computation.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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