Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1839982 | Nuclear Physics B | 2015 | 38 Pages |
Abstract
An iterative procedure perturbatively solving the quantum spectral curve of planar N=4N=4 SYM for any operator in the slsl(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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Christian Marboe, Dmytro Volin,