论文标题
有效的汉密尔顿人和对阵哈密顿截断的反理
Effective Hamiltonians and Counterterms for Hamiltonian Truncation
论文作者
论文摘要
我们概述了将哈密顿截断应用于具有紫外线分歧的量子场理论(QFTS)的程序。为此,我们得出了一种有效的哈密顿量的新颖表示,这表现出了其重要特性(例如,紫外线理论与有效的哈密顿尔顿人所描述的理论之间的光谱的非扰动匹配)。我们使用保形扰动理论检查了我们程序的一致性。最后,我们评论有效的哈密顿量如何结合非本地相互作用,它描述了局部QFT。
We outline a procedure for applying Hamiltonian Truncation to Quantum Field Theories (QFTs) that have UV divergences. To do this, we derive a novel representation of an Effective Hamiltonian which makes manifest some of its important properties (e.g. the non-perturbative matching of the spectra between the UV theory and the theory described by the Effective Hamiltonian). We check the consistency of our procedure using Conformal Perturbation Theory. Finally we comment on how the Effective Hamiltonian, which incorporates non-local interactions, describes a local QFT.