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Vacuum energy of the Bukhvostov–Lipatov model

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dc.contributor.authorBazhanov, Vladimir V.
dc.contributor.authorLukyanov, Sergei L.
dc.contributor.authorRunov, Boris A.
dc.date.accessioned2016-11-08T03:05:17Z
dc.date.available2016-11-08T03:05:17Z
dc.date.issued2016-09-19
dc.date.updated2016-11-07T03:12:10Z
dc.description.abstractBukhvostov 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 couplings as well as the conformal perturbation theory at short distances. Our results also agree with the Bethe ansatz solution of the model. A complete proof the proposed expression for the vacuum energy based on a combination of the Bethe ansatz techniques and the classical inverse scattering transform method is presented in the second part of this work [42] .en_AU
dc.description.sponsorshipThe research of SL is supported by the NSF under grant number NSF-PHY-1404056.en_AU
dc.identifier16936
dc.identifier.issn0550-3213en_AU
dc.identifier.urihttp://hdl.handle.net/1885/110177
dc.publisherElsevieren_AU
dc.rights© 2016 Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.en_AU
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/
dc.sourceNuclear Physics Ben_AU
dc.source.urihttp://repo.scoap3.org/record/16936/files/main.pdfen_AU
dc.titleVacuum energy of the Bukhvostov–Lipatov modelen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.lastpage889en_AU
local.bibliographicCitation.startpage863en_AU
local.contributor.affiliationBazhanov, Vladimir V., Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, ACT, 2601, Australiaen_AU
local.contributor.affiliationLukyanov, Sergei L., NHETC, Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, 08855-0849, USAen_AU
local.contributor.affiliationRunov, Boris A., Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, ACT, 2601, Australiaen_AU
local.contributor.authoruidu9014097en_AU
local.identifier.ariespublicationU3488905xPUB24850
local.identifier.doi10.1016/j.nuclphysb.2016.08.031en_AU
local.publisher.urlhttp://www.elsevier.com/en_AU
local.type.statusPublished Versionen_AU

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