Hagedorn Temperature in Superstring Bits and SU(N) Characters
High Energy Physics - Theory
2017-10-17 v4
Abstract
We study the simplest superstring bit model at finite N using the characters of the SU(N) group. We obtain exact, analytic expressions for small N partition functions and Gaussian approximations for them in the high temperature limit for all N. We use numerical evidence to identify two temperature regimes where the partition function has different limiting behaviors. The temperature at which this transition takes place is identified as the Hagedorn temperature.
Cite
@article{arxiv.1706.09951,
title = {Hagedorn Temperature in Superstring Bits and SU(N) Characters},
author = {Sourav Raha},
journal= {arXiv preprint arXiv:1706.09951},
year = {2017}
}
Comments
19 pages, 6 figures, funding information, arxiv number of a reference