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Local Nets of Von Neumann Algebras in the Sine–Gordon Model

Local Nets of Von Neumann Algebras in the Sine–Gordon Model

Abstract 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. …