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

نویسندگان

چکیده

Abstract The Haag–Kastler net of local von Neumann algebras is constructed in the ultraviolet finite regime Sine–Gordon model, and its equivalence with massive Thirring model proved. In contrast to other authors, we do not add an auxiliary mass term, work completely Lorentzian signature. construction based on functional formalism for perturbative Algebraic Quantum Field Theory together estimates originally derived within Constructive adapted paper extends previous by two us.

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2021

ISSN: ['0010-3616', '1432-0916']

DOI: https://doi.org/10.1007/s00220-021-03961-y