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On the scaling behaviour of the alternating spin chain

Bazhanov, Vladimir; Kotousov, Gleb; Koval, Sergii; Lukyanov, Sergei L

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In this note we report the results of our study of a 1D integrable spin chain whose critical behaviour is governed by a CFT possessing a continuous spectrum of scaling dimensions. It is argued that the computation of the density of Bethe states of the continuous theory can be reduced to the calculation of the connection coefficients for a certain class of differential equations whose monodromy properties are similar to those of the conventional confluent hypergeometric equation. The finite size...[Show more]

dc.contributor.authorBazhanov, Vladimir
dc.contributor.authorKotousov, Gleb
dc.contributor.authorKoval, Sergii
dc.contributor.authorLukyanov, Sergei L
dc.date.accessioned2020-06-19T00:34:02Z
dc.date.available2020-06-19T00:34:02Z
dc.identifier.issn1126-6708
dc.identifier.urihttp://hdl.handle.net/1885/205324
dc.description.abstractIn this note we report the results of our study of a 1D integrable spin chain whose critical behaviour is governed by a CFT possessing a continuous spectrum of scaling dimensions. It is argued that the computation of the density of Bethe states of the continuous theory can be reduced to the calculation of the connection coefficients for a certain class of differential equations whose monodromy properties are similar to those of the conventional confluent hypergeometric equation. The finite size corrections to the scaling are also discussed.
dc.description.sponsorshipArticle funded by SCOAP3.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherSocieta Italiana di Fisica
dc.rights© The Authors
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceThe Journal of High Energy Physics
dc.titleOn the scaling behaviour of the alternating spin chain
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume2019
dc.date.issued2019
local.identifier.absfor010505 - Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory
local.identifier.ariespublicationu3102795xPUB4276
local.publisher.urlhttps://www.springer.com/gp
local.type.statusPublished Version
local.contributor.affiliationBazhanov, Vladimir, College of Science, ANU
local.contributor.affiliationKotousov, Gleb, College of Science, ANU
local.contributor.affiliationKoval, Sergii, College of Science, ANU
local.contributor.affiliationLukyanov, Sergei L, Rutgers University
local.bibliographicCitation.issue87
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage30
local.identifier.doi10.1007/JHEP08(2019)087
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2020-01-19T07:27:22Z
local.identifier.scopusID2-s2.0-85070900577
dcterms.accessRightsOpen Access
dc.provenanceThis is an open access article under the CC BY 4.0 license (https://creativecommons.org/licenses/by/4.0/)
dc.rights.licenseAttribution 4.0 International (CC BY 4.0)
CollectionsANU Research Publications

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