Quantum spectral curve as a tool for a perturbative quantum field theory - INSPIRE

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Quantum spectral curve as a tool for a perturbative quantum field theory

Christian Marboe
(
- Trinity Coll., Dublin
)
,
Dmytro Volin
(
- Trinity Coll., Dublin and
- Nordita and
- Stockholm U. and
- BITP, Kiev
)

Nov 18, 2014

38 pages

Published in:

Nucl.Phys.B 899 (2015) 810-847

Published: Aug 26, 2015

e-Print:

1411.4758 [hep-th]

DOI:

10.1016/j.nuclphysb.2015.08.021

Report number:

TCD-math-2014-07,
NORDITA-2014-129

View in:

reference search93 citations

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Abstract: (Elsevier)

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.

Note:

36 pages plus tables; v2: minor changes, references added, ancillary files with mathematica notebooks added

field theory: perturbation theory
dimension: conformal
supersymmetry: 4
algebra
spectral
Baxter equation
zeta function
numerical calculations
higher-order
SL(2)

References(74)

Figures(1)

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