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Integrable structure of Quantum Field Theory: classical flat connections versus quantum stationary states

Bazhanov, Vladimir V.; Lukyanov, Sergei L.


We establish a correspondence between an infinite set of special solutions of the (classical) modified sinh-Gordon equation and a set of stationary states in the finite-volume Hilbert space of the integrable 2D QFT invented by V.A. Fateev. The modified sinh-Gordon equation arise in this case as a zero-curvature condition for a class of multivalued connections on the punctured Riemann sphere, similarly to Hitchin’s self-duality equations. The proposed correspondence between the classical and...[Show more]

CollectionsANU Research Publications
Date published: 2014-09-25
Type: Journal article
Source: Journal of High Energy Physics
DOI: 10.1007/JHEP09(2014)147


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