Hagedorn temperature and physics of black holes

¹ ITEP, B. Cheremushkinskaya 25, Moscow 117218, Russia
² Max-Planck Institut fuer Physik, Foehringer Ring 6, Muenchen, Germany
³ School of Biomedicine, Far Eastern Federal University, Sukhanova str 8, Vladivostok, 690950
⁴ Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA
⁵ Ghent University, Department of Physics and Astronomy Krijgslaan, 281-S9, 9000 Gent, Belgium

^a e-mail: vzakharov@itep.ru

Published online: 4 November 2016

Abstract

A mini-review devoted to some implications of the Hagedorn temperature for black hole physics. The existence of a limiting temperature is a generic feature of string models. The Hagedorn temperature was introduced first in the context of hadronic physics. Nowadays, the emphasis is shifted to fundamental strings which might be a necessary ingredient to obtain a consistent theory of black holes. The point is that, in field theory, the local temperature close to the horizon could be arbitrarily high, and this observation is difficult to reconcile with the finiteness of the entropy of black holes. After preliminary remarks, we review our recent attempt to evaluate the entropy of large black holes in terms of fundamental strings. We also speculate on implications for dynamics of large-N_c gauge theories arising within holographic models.