Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-01-30
J.Phys.A42:254005,2009
Physics
High Energy Physics
High Energy Physics - Theory
49 pages, 1 figure; v2: minor corrections, references added
Scientific paper
10.1088/1751-8113/42/25/254005
The cusp anomalous dimension is a ubiquitous quantity in four-dimensional gauge theories, ranging from QCD to maximally supersymmetric N=4 Yang-Mills theory, and it is one of the best investigated observables in the AdS/CFT correspondence. In planar N=4 SYM theory, its perturbative expansion at weak coupling has a finite radius of convergence while at strong coupling it admits an expansion in inverse powers of the 't Hooft coupling which is given by a non-Borel summable asymptotic series. We study the cusp anomalous dimension in the transition regime from strong to weak coupling and argue that the transition is driven by nonperturbative, exponentially suppressed corrections. To compute these corrections, we revisit the calculation of the cusp anomalous dimension in planar N=4 SYM theory and extend the previous analysis by taking into account nonperturbative effects. We demonstrate that the scale parameterizing nonperturbative corrections coincides with the mass gap of the two-dimensional bosonic O(6) sigma model embedded into the AdS_5xS^5 string theory. This result is in agreement with the prediction coming from the string theory consideration.
Basso Brandon
Korchemsky Gregory P.
No associations
LandOfFree
Nonperturbative scales in AdS/CFT does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonperturbative scales in AdS/CFT, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonperturbative scales in AdS/CFT will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-425353