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The Hagedorn transition in string theory is normally associated with an exponentially rising density of states, or equivalently with the existence of a thermal string winding mode which becomes tachyonic above a specific temperature.…

High Energy Physics - Theory · Physics 2007-05-23 Keith R. Dienes , Michael Lennek

We study the microcanonical density of states and the thermal properties of a bosonic string gas starting from a calculation of the Helmholtz free energy in the S-representation. By adding more and more strings to the single string system,…

High Energy Physics - Theory · Physics 2015-06-26 Marco Laucelli Meana , M. A. R. Osorio , Jesús Puente Peñalba

We discuss semi-classical string configurations at finite temperature. We find that those soliton solution in the background describing type IIA strings disappear or become divergent when we approach the Hagedorn temperature in the strong…

High Energy Physics - Theory · Physics 2009-05-25 J. D. Madrigal , P. Talavera

Steepest-Entropy-Ascent Quantum Thermodynamics (SEAQT) provides a general framework for the description of non-equilibrium phenomena at any level, particularly the atomistic one. This theory and its dynamical postulate are used here to…

Chemical Physics · Physics 2017-05-03 Gian Paolo Beretta , Michael von Spakovsky

A formal development of the hypoequilibrium (HE) state concept within the Steepest-Entropy-Ascent Quantum Thermodynamics (SEAQT) framework is presented, emphasizing its rigorous mathematical formulation. Using a general decomposition of the…

Quantum Physics · Physics 2026-05-27 Gian Paolo Beretta , Rohit Kishan Ray , Michael R. von Spakovsky

In this work, we review the results of Refs [1]-[5] dedicated to the description of the early Universe cosmology induced by quantum and thermal effects in superstring theories. The present evolution of the Universe is described very…

High Energy Physics - Theory · Physics 2021-01-05 F. Bourliot , J. Estes , C. Kounnas , H. Partouche

Above the Hagedorn energy density closed fundamental strings form a long string phase. The dynamics of weakly interacting long strings is described by a simple Boltzmann equation which can be solved explicitly for equilibrium distributions.…

High Energy Physics - Theory · Physics 2010-11-01 D. A. Lowe , L. Thorlacius

In a recent paper [1], the semiclassical quantization of a string, winding once around the compact Euclidean time circle, on a supergravity background dual to the deep infrared regime of a confining finite temperature gauge theory, was…

High Energy Physics - Theory · Physics 2023-08-31 Francesco Bigazzi , Tommaso Canneti , Wolfgang Mück

No bootstrap assumption is needed to derive the exponential growth of the Hagedorn hadron mass spectrum: It is a consequence of the second law applied to a relativistic gas, and the relativistic equivalence between inertial mass and its…

High Energy Physics - Theory · Physics 2011-10-25 B. H. Lavenda

In string theory, a thermal state is described by compactifying Euclidean time on a thermal circle $S^{1}_{\beta}$, of fixed circumference. However, this circumference is a dynamical field which could vary in space, therefore thermal…

High Energy Physics - Theory · Physics 2022-05-25 Ram Brustein , Yoav Zigdon

We study the finite temperature properties of a recently introduced string bit model designed to capture some features of the emergent string in the tensionless limit. The model consists of a pair of bosonic and fermionic bit operators…

High Energy Physics - Theory · Physics 2017-12-06 Matteo Beccaria

In this paper, we investigate thermal equilibrium in string gas cosmology which is dominated by closed string.We consider two interesting regimes, Hagedorn and radiation regimes.We find that for short strings in small radius of Hagedorn…

High Energy Physics - Theory · Physics 2011-07-08 J. Sadeghi , H. Farahani , B. Pourhassan

We compute the high energy entropy and the equation of state of a gas of open superstrings in the infinite volume limit focusing on the calculation of the number of strings as a function of energy and volume. We do it in the fixed…

High Energy Physics - Theory · Physics 2016-08-16 Manuel A. Cobas , M. A. R. Osorio , María Suárez

We are presenting the basic ingredients of a stringy mechanism able to resolve both the Hagedorn instabilities of finite temperature superstrings as well as the initial singularity of the induced cosmology in arbitrary dimensions. These are…

High Energy Physics - Theory · Physics 2015-05-28 Costas Kounnas , Herve Partouche , Nicolaos Toumbas

We consider the thermodynamics of a color-confined phase of quantum chromodynamics (QCD) and pure gauge theory within a string-inspired model, corresponding to a physical spatial dimension, d = 3. We show that the physical mass spectrum of…

High Energy Physics - Phenomenology · Physics 2025-11-10 Michał Marczenko , Győző Kovács , Larry McLerran , Krzysztof Redlich

We study the behavior of a simple string bit model at finite temperature. We use thermal perturbation theory to analyze the high temperature regime. But at low temperatures we rely on the large $N$ limit of the dynamics, for which the exact…

High Energy Physics - Theory · Physics 2017-08-15 Charles B. Thorn

A microcanonical treatment of Hagedorn systems, i.e. finite mass hadronic resonances with an exponential mass spectrum controlled by the Hagedorn temperature $T_H$, is performed. We show that, in the absence of any restrictions, a Hagedorn…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. A. Bugaev , J. B. Elliott , L. G. Moretto , L. Phair

Hagedorn states are the key to understand how all hadrons observed in high energy heavy ion collisions seem to reach thermal equilibrium so quickly. An assembly of Hagedorn states is formed in elementary hadronic or heavy ion collisions at…

High Energy Physics - Phenomenology · Physics 2016-09-07 M. Beitel , C. Greiner , H. Stoecker

We study aspects of the thermodynamics of Little String Theory, using its geometrical definition in critical ten-dimensional string theory. We find that bulk radiation effects tend to screen the Hagedorn behaviour of the theory, in contrast…

High Energy Physics - Theory · Physics 2009-04-03 Jose L. F. Barbon , Carlos A. Fuertes , Eliezer Rabinovici

This paper presents a nonequilibrium, first-principles, thermodynamic-ensemble based model for the relaxation process of interacting non-equilibrium systems. This model is formulated using steepest-entropy-ascent quantum thermodynamics…

Statistical Mechanics · Physics 2018-10-10 Guanchen Li , Michael R. von Spakovsky
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