Theoretical High Energy Seminar – Niels Bohr Institute - University of Copenhagen

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Theoretical High Energy Seminar

Speaker: G. Korchemsky, Saclay

Title: Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills theory at  Strong Coupling

Abstract: The cusp anomalous dimension is an important observable in
four dimensional gauge theories, ranging from QCD to maximally
supersymmetric N=4 Yang-Mills theory (SYM) as it governs the
scaling behavior of various gauge invariant quantities, a
priori unrelated. The cusp anomalous dimension is a function
of the gauge coupling only and its weak coupling expansion is
known up to four loops in planar N=4 SYM. At strong coupling,
assuming the AdS/CFT correspondence, the first few terms of the
strong coupling expansion of the cusp anomaly have been derived
from the semiclassical expansion of the energy of a folded string
rotating in the AdS_3 part of the target space. Recently, an
integral equation was proposed (BES equation) that is believed
to govern the cusp anomaly at any value of the coupling constant.
We shall present an exact analytical solution to this equation
and, then, describe the strong coupling expansion of the cusp
anomalous dimension.