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Quantum spectral curve as a tool for a perturbative quantum field theory
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Trinity College Dublin, Ireland; Bogolyubov Institute for Theoretical Physics, Ukraine.ORCID iD: 0000-0003-0445-3456
Number of Authors: 22015 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 899, p. 810-847Article 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
2015. Vol. 899, p. 810-847
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Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-159644DOI: 10.1016/j.nuclphysb.2015.08.021ISI: 000362604100037OAI: oai:DiVA.org:su-159644DiVA, id: diva2:1244863
Available from: 2018-09-03 Created: 2018-09-03 Last updated: 2018-09-03Bibliographically approved

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Marboe, ChristianVolin, Dmytro
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