Instanton effects in correlation functions on the light-cone

Abstract

We study instanton corrections to four-point correlation correlation function of half-BPS operators in $\mathcal{N}=4$ SYM in the light-cone limit when operators become null separated in a sequential manner. We exploit the relation between the correlation function in this limit and light-like rectangular Wilson loop to determine the leading instanton contribution to the former from the semiclassical result for the latter. We verify that the light-like rectangular Wilson loop satisfies anomalous conformal Ward identities nonperturbatively, in the presence of instantons. We then use these identities to compute the leading instanton contribution to the light-like cusp anomalous dimension and to anomalous dimension of twist-two operators with large spin.

27 pages

References in corpus (2)

• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Hexagonalization of Correlation Functions

Cited by in corpus (4)

• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Handling Handles. Part II. Stratification and Data Analysis
• The nonplanar cusp and collinear anomalous dimension at four loops in $\mathcal{N}=4$ SYM theory
• On interpolating anomalous dimension of twist-two operators with general spins