Scaling function in AdS/CFT from the O(6) sigma model
Date: 2009
MTMT: 1254006
WoS ID: 000263280800005
Scopus ID: 58649100042
Abstract:
Asymptotic behavior of the anomalous dimensions of Wilson
operators with high spin and twist is governed in planar N = 4
SYM theory by the scaling, function which coincides at strong
coupling with the energy density of a two-dimensional bosonic
O(6) sigma model. We calculate this function by combining the
two-loop correction to the energy density for the O(n) model
with two-loop correction to the mass gap determined by the all-
loop Bethe ansatz in N = 4 SYM theory. The result is in
agreement with the prediction coming front the thermodynamical
limit of the quantum string Bethe ansatz equations, but
disagrees with the two-loop stringy corrections to the folded
spinning string solution. (c) 2009 Elsevier B.V. All rights
reserved.