Fine structure of Hagedorn transitions
Abstract
We study nonperturbative aspects of the Hagedorn transition for IIB string theory in an antide Sitter spacetime in the limit that the string length goes to infinity. The theory has a holographic dual in terms of free $\NN=4$ superYangMills 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 is smoothed out by quantum effects. In particular, the Hagedorn singularity of perturbative string theory is removed by summing over two different string geometries: one from the thermal AdS background, the other from a noncritical string background. The associated noncritical string has the scaling of the unconventional branch of superLiouville theory or a branched polymer.
 Publication:

arXiv eprints
 Pub Date:
 August 2004
 arXiv:
 arXiv:hepth/0408001
 Bibcode:
 2004hep.th....8001L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 28 pages, uses Harvmac