# Fine structure of Hagedorn transitions

@article{Liu2004FineSO, title={Fine structure of Hagedorn transitions}, author={Hong Liu}, journal={arXiv: High Energy Physics - Theory}, year={2004} }

We study non-perturbative aspects of the Hagedorn transition for IIB string theory in an anti-de Sitter spacetime in the limit that the string length goes to infinity. The theory has a holographic dual in terms of free N = 4 super-Yang-Mills theory on a threedimensional sphere. We define a double scaling limit in which the width of the transition region around the Hagedorn temperature scales with the effective string coupling with a critical exponent. We show that in this limit the transition…

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