QCD and the Hagedorn spectrum
High Energy Physics - Theory
2014-11-18 v3 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
It is shown that large Nc QCD must have a Hagedorn spectrum (i.e. a spectrum of hadron which grows exponentially with the hadrons mass) provided that certain technical assumptions concerning the applicability of perturbation theory to a certain class of correlation functions apply. The basic argument exploits the interplay of confinement and asymptotic freedom.
Cite
@article{arxiv.0901.0494,
title = {QCD and the Hagedorn spectrum},
author = {Thomas D. Cohen},
journal= {arXiv preprint arXiv:0901.0494},
year = {2014}
}
Comments
16 pages, 1 figure. This version is expanded from the original version. Additional discussion has been added to clarify the central issues. Typos have been fixed. The appendix has been updated and greatly expanded.