Quark-antiquark potential in AdS at one loop

Abstract

We derive an exact analytical expression for the one-loop partition function of a string in AdS_5xS^5 background with world-surface ending on two anti-parallel lines. All quantum fluctuations are shown to be governed by integrable, single-gap Lame' operators. The first strong coupling correction to the quark-antiquark potential, as defined in N=4 SYM, is derived as the sum of known mathematical constants and a one-dimensional integral representation. Its full numerical value can be given with arbitrary precision and confirms a previous result.

16 pages. Typos corrected, minor changes

References in corpus (34)

• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• Wilson Loops and Minimal Surfaces
• Classical/quantum integrability in AdS/CFT
• Comments on gluon scattering amplitudes via AdS/CFT
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• Y-system for Scattering Amplitudes
• Quantizing three-spin string solution in AdS_5 x S^5
• Supersymmetric Wilson loops
• Simplifying superstring action on AdS_5 x S^5
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling
• Stringy Corrections to the Wilson Loop in N=4 Super Yang-Mills Theory
• On the integrability of Wilson loops in AdS_5 x S^5: Some periodic ansatze
• Spinning strings in AdS_5 x S^5: one-loop correction to energy in SL(2) sector
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Semiclassical strings and AdS/CFT
• Quantum fluctuations of Wilson loops from string models
• Remarks on the Heavy Quark Potential in the Supergravity Approach
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Vacuum
• Quantum corrections to energy of short spinning string in AdS5
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Plasma
• The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak coupling
• Improved heavy quark potential at finite temperature from anti-de Sitter supergravity
• The Partition Function of a Wilson Loop in a Strongly Coupled $\mathcal{N}=4$ Supersymmetric Yang-Mills Plasma with Fluctuations
• A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5

Cited by in corpus (42)

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• Generalized quark-antiquark potential at weak and strong coupling
• Integrable Wilson loops
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Determination of the Static Potential with Dynamical Fermions
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Quark--anti-quark potential in N=4 SYM
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• Two-loop cusp anomaly in ABJM at strong coupling
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Vacuum
• Correlation Function of Circular Wilson Loops at Strong Coupling
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Plasma
• String corrections to circular Wilson loop and anomalies
• The finite 't Hooft coupling correction on the jet quenching parameter in a $\mathcal{N}=4$ Super Yang-Mills Plasma
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• Flavor Corrections in the Static Potential in Holographic QCD
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Quantum String Test of Nonconformal Holography
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Deformations of the circular Wilson loop and spectral (in)dependence
• Quark-antiquark potential in defect conformal field theory
• Dressed Wilson Loops on S^2
• Green-Schwarz superstring on the lattice
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• Can holography reproduce the QCD Wilson line?
• NLL resummation for the static potential in N=4 SYM theory
• Quantum corrections to minimal surfaces with mixed three-form flux
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• The ground state of long-range Schrodinger equations and static $q\bar{q}$ potential
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5
• Remarks on the geometrical properties of semiclassically quantized strings
• On the cusp anomalous dimension in the ladder limit of $\mathcal{N}=4$ SYM
• Generalized quark-antiquark potential in AdS/CFT
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory