Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-12
JHEP 1005:031,2010
Physics
High Energy Physics
High Energy Physics - Theory
69 pages, v2: new "hybrid" equations for YQ-functions, figures and tables are added. Analyticity of Y-system is discussed, v3:
Scientific paper
10.1007/JHEP05(2010)031
We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS_5 \times S^5 mirror model, and obtain the integral equations determining the energy of two-particle excited states dual to N=4 SYM operators from the sl(2) sector. We show that each state/operator is described by its own set of TBA equations. Moreover, we provide evidence that for each state there are infinitely-many critical values of 't Hooft coupling constant \lambda, and the excited states integral equations have to be modified each time one crosses one of those. In particular, estimation based on the large L asymptotic solution gives \lambda \approx 774 for the first critical value corresponding to the Konishi operator. Our results indicate that the related calculations and conclusions of Gromov, Kazakov and Vieira should be interpreted with caution. The phenomenon we discuss might potentially explain the mismatch between their recent computation of the scaling dimension of the Konishi operator and the one done by Roiban and Tseytlin by using the string theory sigma model.
Arutyunov Gleb
Frolov Sergey
Suzuki Ryo
No associations
LandOfFree
Exploring the mirror TBA 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 Exploring the mirror TBA, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exploring the mirror TBA will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-148579