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Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors

Shijong Ryang
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Abstract

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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Shijong Ryang. 2007-03-27. Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors. https://doi.org/10.1088/1126-6708%2F2007%2F05%2F101

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