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arXiv · 2511.10800

Wightman axiomatics of the bootstrap construction of the 1+1 dimensional Sinh-Gordon model

Karol K. Kozlowski·Alex Simon
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Abstract

The integrable bootstrap program allows one to express the tempered distributions associated with the multipoint functions of the integrable 1+1 dimensional Sinh-Gordon quantum field theory by means of explicit series. The convergence of the latter is an open problem that was only solved for the two-point case. In this work, by taking for granted the convergence of these series, we show that these expressions satisfy all of the Wightman axioms. This thus shows that, upon a yet to be proven convergence property, the integrable bootstrap based construction of correlation functions does lead to a quantum field theory.

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Karol K. Kozlowski, Alex Simon. 2025-11-13. Wightman axiomatics of the bootstrap construction of the 1+1 dimensional Sinh-Gordon model. https://arxiv.org/abs/2511.10800

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