Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Quantum Spectral Curve for a cusped Wilson line in N=4 SYM

Full text
Author(s):
Gromov, Nikolay [1, 2] ; Levkovich-Maslyuk, Fedor [1]
Total Authors: 2
Affiliation:
[1] Kings Coll London, Dept Math, London WC2R 2LS - England
[2] St Petersburg INP, St Petersburg 188300 - Russia
Total Affiliations: 2
Document type: Journal article
Source: Journal of High Energy Physics; n. 4 APR 20 2016.
Web of Science Citations: 37
Abstract

We show that the Quantum Spectral Curve (QSC) formalism, initially formulated for the spectrum of anomalous dimensions of all local single trace operators in N = 4 SYM, can be extended to the generalized cusp anomalous dimension for all values of the parameters. We find that the large spectral parameter asymptotics and some analyticity properties have to be modified, but the functional relations are unchanged. As a demonstration, we find an all-loop analytic expression for the first two nontrivial terms in the small vertical bar phi +/- theta vertical bar expansion. We also present nonperturbative numerical results at generic angles which match perfectly 4-loop perturbation theory and the classical string prediction. The reformulation of the problem in terms of the QSC opens the possibility to explore many open questions. We attach to this paper several Mathematica notebooks which should facilitate future studies. (AU)

FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants