Instanton effects in correlation functions on the light-cone

• Main Author: G. P. Korchemsky
• Format: Article
• Language: English
• Published: SpringerOpen 2017-12-01
• Series: Journal of High Energy Physics
• Subjects: Extended Supersymmetry; Solitons Monopoles and Instantons; Supersymmetric Gauge Theory; Wilson; ’t Hooft and Polyakov loops
• Online Access: http://link.springer.com/article/10.1007/JHEP12(2017)093

Abstract We study instanton corrections to four-point correlation correlation function of half-BPS operators in N $$ \mathcal{N} $$ = 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.