An exact formula for the radiation of a moving quark in N=4 super Yang Mills

Abstract

We derive an exact formula for the cusp anomalous dimension at small angles. This is done by relating the latter to the computation of certain 1/8 BPS Wilson loops which was performed by supersymmetric localization. This function of the coupling also determines the power emitted by a moving quark in N=4 super Yang Mills, as well as the coefficient of the two point function of the displacement operator on the Wilson loop. By a similar method we compute the near BPS expansion of the generalized cusp anomalous dimension.

22 pages, 5 figures. v2: references added, typos corrected

References in corpus (7)

• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Wilson Loops in N=4 SYM and Fermion Droplets
• Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Quark-antiquark potential in AdS at one loop

Cited by in corpus (156)

• Quantum spectral curve for AdS_5/CFT_4
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Exact results for the entanglement entropy and the energy radiated by a quark
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• Integrable Wilson loops
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Rényi entropy and conformal defects
• The Quantum Spectral Curve of the ABJM theory
• Renormalization Group Flows on Line Defects
• Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
• Analytic Solution of Bremsstrahlung TBA
• Towards integrability for AdS3/CFT2
• Universality at large transverse spin in defect CFT
• New supersymmetric Wilson loops in ABJ(M) theories
• The Exact Bremsstrahlung Function in N=2 Superconformal Field Theories
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Exact results for Wilson loops in arbitrary representations
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Line defects and radiation in $\mathcal{N}=2$ theories
• Non-supersymmetric Wilson loop in N=4 SYM and defect 1d CFT
• Integrability and Conformal Bootstrap: One Dimensional Defect CFT
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• The Wilson loop CFT: Insertion dimensions and structure constants from wavy lines
• Superconformal surfaces in four dimensions
• Spin Impurities, Wilson Lines and Semiclassics
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Exact Bremsstrahlung and Effective Couplings
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• QCD Pomeron from AdS/CFT Quantum Spectral Curve
• Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
• Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
• The Exact Effective Couplings of 4D N=2 gauge theories
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$
• Multi-Loop Positivity of the Planar $\mathcal{N}=4$ SYM Six-Point Amplitude
• Towards the exact Bremsstrahlung function of ABJM theory
• 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 $Ad{S}_5\times S^5$
• On the Casimir scaling violation in the cusp anomalous dimension at small angle
• Localization and AdS/CFT Correspondence
• Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
• Bootstrapping holographic defect correlators in $\mathcal{N}=4$ super Yang-Mills
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• Broken global symmetries and defect conformal manifolds
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Borel summability of perturbative series in 4d N=2 and 5d N=1 theories
• Resurgence of the Cusp Anomalous Dimension
• Two-loop cusp anomaly in ABJM at strong coupling
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Exact Bremsstrahlung functions in ABJM theory
• Probing N=2 superconformal field theories with localization
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Systematics of the cusp anomalous dimension
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory
• Bootstrapping line defects in $\mathcal{N}=2$ theories
• Multiple Gluon Exchange Webs
• Exact probes of orientifolds
• Wilson loops and minimal area surfaces in hyperbolic space
• Subleading Regge limit from a soft anomalous dimension
• On non-supersymmetric generalizations of the Wilson-Maldacena loops in N=4 SYM
• Radiation and a dynamical UV/IR connection in AdS/CFT
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Framing and localization in Chern-Simons theories with matter
• Surface operators in the 6d $\mathcal{N}=(2,0)$ theory
• Correlation function of circular Wilson loop with two local operators and conformal invariance
• Spin chain integrability in non-supersymmetric Wilson loops
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• Defect CFT techniques in the 6d $\mathcal{N}=(2,0)$ theory
• One-loop Wilson loops and the particle-interface potential in AdS/dCFT
• Wilson loops in terms of color invariants
• On the Derivation of the Exact Slope Function
• Ladders for Wilson Loops Beyond Leading Order
• Exact momentum fluctuations of an accelerated quark in N=4 super Yang-Mills
• An Introduction to Webs
• Branes from Light: Embeddings and Energetics for Symmetric $k$-Quarks in $\mathcal{N}=4$ SYM
• IR dynamics and entanglement entropy
• The Bremsstrahlung function of $\mathcal{N}=2$ SCQCD
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• Marginal deformations and defect anomalies
• A matrix model for the latitude Wilson loop in ABJM theory
• Defect multiplets of N=1 supersymmetry in 4d
• EPR = ER and Scattering Amplitude as Entanglement Entropy Change
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Algebraic Curve for a Cusped Wilson Line
• More about "short" spinning quantum strings
• Localization and Duality for ABJM Latitude Wilson Loops
• Observations on BPS observables in 6d
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Holographic Brownian motion at finite density
• On three-point functions in ABJM and the latitude Wilson loop
• Deformations of the circular Wilson loop and spectral (in)dependence
• 1/3 BPS loops and defect CFTs in ABJM theory
• A defect action for Wilson loops
• The energy-momentum multiplet of supersymmetric defect field theories
• Torus knot polynomials and susy Wilson loops
• Wilson loops T-dual to Short Strings
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• Constant primary operators and where to find them: The strange case of BPS defects in ABJ(M) theory
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• Emitted Radiation and Geometry
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Cusped Wilson lines in symmetric representations
• Ironing out the crease
• Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit
• Conformal line defects at finite temperature
• QCD cusp anomalous dimension: current status
• Four-loop QCD cusp anomalous dimension at small angle
• An exact limit of ABJM
• Jet evolution from weak to strong coupling
• One-loop correction to the energy of a wavy line string in AdS_5
• On the abundance of supersymmetric strings in $Ad{S}_3\times S^3\times S^3\times S^1$ describing BPS line operators
• Relativistic Runge-Lenz vector: from $\mathcal{N}=4$ SYM to SO(4) scalar field theory
• Soft photon radiation and entanglement
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• On scalar radiation
• Supersymmetric Wilson loops in two dimensions and duality
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Zero Temperature Dissipation and Holography
• Interpolating Bremsstrahlung function in ABJM
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Cusp Anomalous dimension and rotating open strings in AdS/CFT
• String amplitudes and mutual information in confining backgrounds: the partonic behavior
• Ladder exponentiation for generic large symmetric representation Wilson loops
• Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5
• QCD, with Strings Attached
• The Cross Anomalous Dimension in Maximally Supersymmetric Yang--Mills Theory
• On a new type of divergence for spiky Wilson loops and related entanglement entropies
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Wilson Loops and Integrability
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory
• On the cusp anomalous dimension in the ladder limit of $\mathcal{N}=4$ SYM
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops
• Universal sectors in superconformal defects
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$