Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-03-27
JHEP 0705:101,2007
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, LaTeX, no figures
Scientific paper
10.1088/1126-6708/2007/05/101
We construct the integral equations by taking the thermodynamic limit of both the all-loop gauge Bethe ansatz equation and the string Bethe ansatz equation for the highest states in the su(1|1) and su(2) sectors of the N=4 super Yang-Mills theory. Using the Fourier transformation we solve the integral equations iteratively to obtain the anomalous dimensions of the highest states in the weak coupling expansion. In the su(1|1) sector we analytically study the strong coupling limit of the anomalous dimension for the all-loop gauge Bethe ansatz equation by means of the Laplace transformation.
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