From correlation functions to scattering amplitudes

Abstract

We study the correlators of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the loop corrections by means of Lagrangian insertions. The divergences resulting from the light-cone limit are regularized by changing the dimension of the integration measure over the insertion points. Switching from coordinates to dual momenta, we show that the logarithm of the correlator is identical with twice the logarithm of the matching MHV gluon scattering amplitude. We present a number of examples of this new relation, at one and two loops.

typos corrected, references added

References in corpus (12)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• From correlation functions to Wilson loops
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills

Cited by in corpus (98)

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• On MHV Form Factors in Superspace for $\mathcal{N}=4$ SYM Theory
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• Origins of the Isospin Violation of Dark Matter Interactions
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• Folding Amplitudes into Form Factors: An Antipodal Duality
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• Null Polygonal Wilson Loops in Full N=4 Superspace
• Decagon at Two Loops
• Hidden Simplicity of Gauge Theory Amplitudes
• Higher loop mixed correlators in N=4 SYM
• χ-Systems for Correlation Functions
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• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
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• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Characterizing dark matter at the LHC in Drell-Yan events
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• Uplifting Amplitudes in Special Kinematics
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• Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
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