Quantum Spectral Curve for Planar<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:math>Super-Yang-Mills Theory

Gromov, Nikolay; Казаков, Владимир; Leurent, Sébastien; Volin, Dmytro

doi:10.1103/physrevlett.112.011602

Cited by 288 publications

(558 citation statements)

References 26 publications

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“…In this paper we study this important observable Ω(λ, θ) intensively using the integrability-based Quantum Spectral Curve method introduced for local operators in [13,14] and generalized for a subclass of Wilson lines in [15]. We show how the results of [15] can be used to get a closed system of equations describing Ω(λ, θ) exactly in the whole range of the parameters λ and θ.…”

Section: Jhep12(2016)122mentioning

confidence: 99%

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Quark-anti-quark potential in N $$ \mathcal{N} $$ = 4 SYM

Gromov

Levkovich-Maslyuk

2016

J. High Energ. Phys.

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We construct a closed system of equations describing the quark-anti-quark potential at any coupling in planar N = 4 supersymmetric Yang-Mills theory. It is based on the Quantum Spectral Curve method supplemented with a novel type of asymptotics. We present a high precision numerical solution reproducing the classical and one-loop string predictions very accurately. We also analytically compute the first 7 nontrivial orders of the weak coupling expansion.Moreover, we study analytically the generalized quark-anti-quark potential in the limit of large imaginary twist to all orders in perturbation theory. We demonstrate how the QSC reduces in this case to a one-dimensional Schrodinger equation. In the process we establish a link between the Q-functions and the solution of the Bethe-Salpeter equation.

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Section: Jhep12(2016)122mentioning

confidence: 99%

“…The Quantum Spectral Curve [13,14] is a set of finite difference equations on Q-functions supplemented with very precise analytical properties. There are 4 + 4 basic Q-functions denoted as P a , a = 1, .…”

Section: Qsc For a Wilson Line With A Cuspmentioning

confidence: 99%

Quark-anti-quark potential in N $$ \mathcal{N} $$ = 4 SYM

Gromov

Levkovich-Maslyuk

2016

J. High Energ. Phys.

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“…the coefficients for the strong coupling expansion ofΦ NP p,q (g). In figure 6 we show how well, at large n, the perturbative coefficients c (n) p,q can be approximated by even their leading asymptotic expansion 8) and also how one could numerically extrapolate even the subleading corrections, c 4 (p, q), c 5 (p, q), etc., shown in (7.6). The formula (7.6) allows us to obtain an explicit formula for the polynomials c L (p, q) by comparing the large n asymptotic expansion of the coefficients c Figure 6.…”

Section: Dispersion Relation and The Non-perturbative Sectormentioning

confidence: 99%

Resurgence of the dressing phase for AdS5 × S5

Arutyunov

Dorigoni

Savin

2017

J. High Energ. Phys.

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Abstract:We discuss the resummation of the strong coupling asymptotic expansion of the dressing phase of the AdS 5 × S 5 superstring. The dressing phase proposed by Beisert, Eden and Staudacher can be recovered from a modified Borel-Ecalle resummation of this asymptotic expansion only by completing it with new, non-perturbative and exponentially suppressed terms that can be organized into different sectors labelled by an instanton-like number. We compute the contribution to the dressing phase coming from the sum over all the instanton sectors and show that it satisfies the homogeneous crossing symmetry equation. We comment on the semiclassical origin of the non-perturbative terms from the world-sheet theory point of view even though their precise explanation remains still quite mysterious.

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“…Although it lacks more recent updates, a good review with an extensive list of references is [1]. A more recent development not covered in [1] is the the Quantum Spectral Curve method [2,3]. For some of its applications, including higher loop computations, see [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%