Abstract
We establish a framework for calculating the Hagedorn temperature of via integrability. Concretely, we derive the thermodynamic Bethe ansatz equations that yield the Hagedorn temperature of planar super Yang-Mills theory at any value of the ’t Hooft coupling. We solve these equations perturbatively at weak coupling via the associated system, confirming the known results at tree level and one-loop order as well as deriving the previously unknown two-loop Hagedorn temperature. Finally, we comment on solving the equations at finite coupling.
- Received 8 October 2017
- Revised 10 January 2018
DOI:https://doi.org/10.1103/PhysRevLett.120.071605
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society