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Quantum spectral curve as a tool for a perturbative quantum field theory
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Trinity College Dublin, Ireland; Bogolyubov Institute for Theoretical Physics, Ukraine.
2015 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 899, 810-847 p.Article in journal (Refereed) Published
Abstract [en]

An iterative procedure perturbatively solving the quantum spectral curve of planar N = 4 SYM for any operator in the sl(2) sector is presented. A mathematica notebook executing this procedure is enclosed. The obtained results include 10-loop computations of the conformal dimensions of more than ten different operators. We prove that the conformal dimensions are always expressed, at any loop order, in terms of multiple zeta-values with coefficients from an algebraic number field determined by the one-loop Baxter equation. We observe that all the perturbative results that were computed explicitly are given in terms of a smaller algebra: single-valued multiple zeta-values times the algebraic numbers.

Place, publisher, year, edition, pages
[Marboe, Christian; Volin, Dmytro] Trinity Coll Dublin, Sch Math, Coll Green, Dublin 2, Ireland. [Volin, Dmytro] KTH Royal Inst Technol, NORDITA, SE-10691 Stockholm, Sweden. [Volin, Dmytro] Stockholm Univ, SE-10691 Stockholm, Sweden. [Volin, Dmytro] Bogolyubov Inst Theoret Phys, UA-03680 Kiev, Ukraine., 2015. Vol. 899, 810-847 p.
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Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-176354DOI: 10.1016/j.nuclphysb.2015.08.021ISI: 000362604100037Scopus ID: 2-s2.0-84941241752OAI: oai:DiVA.org:kth-176354DiVA: diva2:867872
Note

QC 20151106

Available from: 2015-11-06 Created: 2015-11-03 Last updated: 2017-12-01Bibliographically approved

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