Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors
High Energy Physics - Theory
2010-10-27 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0703241,
title = {Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors},
author = {Shijong Ryang},
journal= {arXiv preprint arXiv:hep-th/0703241},
year = {2010}
}
Comments
16 pages, LaTeX, no figures