Local Nets of Von Neumann Algebras in the Sine-Gordon Model
Local Nets of Von Neumann Algebras in the Sine-Gordon Model
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DOI：
10.1007/s00220-021-03961-y
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发表时间：
2021-03-12
影响因子：
2.4
通讯作者：
Rejzner, Kasia
中科院分区：
文献类型：
--
作者：
Bahns, Dorothea;Fredenhagen, Klaus;Rejzner, Kasia
在sin - gordon模型的紫外有限域构造了局部von Neumann代数的Haag-Kastler网，并证明了其与大质量Thirring模型的等价性。与其他作者相比，我们没有添加辅助的质量项，我们完全用洛伦兹签名进行工作。该构造是基于微扰代数量子场论的泛函形式，以及最初在构造量子场论中导出的估计，并适应于洛伦兹签名。这篇论文扩展了我们两人以前的工作。
The Haag-Kastler net of local von Neumann algebras is constructed in the ultraviolet finite regime of the Sine-Gordon model, and its equivalence with the massive Thirring model is proved. In contrast to other authors, we do not add an auxiliary mass term, and we work completely in Lorentzian signature. The construction is based on the functional formalism for perturbative Algebraic Quantum Field Theory together with estimates originally derived within Constructive Quantum Field Theory and adapted to Lorentzian signature. The paper extends previous work by two of us.