Threshold amplitudes in field theories and integrable systems
Alexander Gorsky, Konstantin Selivanov
TL;DR
This paper explores the relationship between threshold tree amplitudes in nonintegrable quantum field theories and integrability, revealing topological interpretations through Baker functions and nullification phenomena.
Contribution
It introduces a novel connection between threshold amplitudes and integrability, utilizing spectral curves and Baker functions for topological insights.
Findings
Threshold amplitudes relate to Baker functions on spectral curves.
Nullification phenomena enable topological interpretations.
The framework bridges nonintegrable theories with integrability concepts.
Abstract
We discuss the threshold tree amplitudes in diverse nonintegrable quantum field theories in the framework of integrability. The amplitudes are related to some Baker functions defined on the auxiliary spectral curves and the nullification phenomena are shown to allow a topological interpretation.
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