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Vacuum energy of the Bukhvostov–Lipatov model

Bazhanov, Vladimir V.; Lukyanov, Sergei L.; Runov, Boris A.


Bukhvostov and Lipatov have shown that weakly interacting instantons and anti-instantons in the O(3) non-linear sigma model in two dimensions are described by an exactly soluble model containing two coupled Dirac fermions. We propose an exact formula for the vacuum energy of the model for twisted boundary conditions, expressing it through a special solution of the classical sinh-Gordon equation. The formula perfectly matches predictions of the standard renormalized perturbation theory at weak...[Show more]

CollectionsANU Research Publications
Date published: 2016-09-19
Type: Journal article
Source: Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2016.08.031
Access Rights: Open Access


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