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We review the resonance gas formalism of hadron thermodynamics and recall that an exponential increase of the resonance spectrum leads to a limiting temperature of hadronic matter. We then show that the number p(n) of ordered partitions of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Philippe Blanchard , Santo Fortunato , Helmut Satz

A system H with a Hagedorn-like mass spectrum imparts its unique temperature T_H to any other system coupled to it. An H system radiates particles in preexisting physical and chemical equilibrium. These particles form a saturated vapor at…

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

We review some recent highlights from the applications of statistical-thermal models to different experimental measurements and lattice QCD thermodynamics, that have been made during the last decade. We start with a short review of the…

High Energy Physics - Phenomenology · Physics 2014-10-28 Abdel Nasser Tawfik

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

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

I retrace the developments from Hagedorn's concept of a limiting temperature for hadronic matter to the discovery and characterization of the quark-gluon plasma as a new state of matter. My recollections begin with the transformation more…

Nuclear Theory · Physics 2016-01-20 Berndt Müller

The quantum statistical treatment of the Rutherford model, considering matter as a system of point charges (electrons and nuclei) is analyzed. First, in the historical context, the solutions of different fundamental problems, such as the…

Plasma Physics · Physics 2015-10-28 W. Ebeling , W. D. Kraeft , G. Röpke

Hagedorn states (HS) are a tool to model the hadronization process which occurs in the phase transition phase between the quark gluon plasma (QGP) and the hadron resonance gas (HRG). Their abundance is believed to appear near the Hagedorn…

High Energy Physics - Phenomenology · Physics 2015-06-22 M. Beitel , K. Gallmeister , C. Greiner

We propose a new type of cosmological model in which it is postulated that not only the temperature but also the curvature is limited by the mass scale of the Hagedorn temperature. We find that the big bang of this universe is smoothly…

High Energy Physics - Theory · Physics 2016-09-06 Masafumi Fukuma , Hikaru Kawai , Masao Ninomiya

A system H with a Hagedorn-like mass spectrum imparts its unique temperature TH to any other system coupled to it. An H system radiates particles in preexisting physical and chemical equilibrium. These particles form a saturated vapor at…

Nuclear Theory · Physics 2009-11-11 L. G. Moretto , K. A. Bugaev , J. B. Elliott , L. Phair

The discontinuity, or imaginary part of a self-energy at finite temperature is proportional to the rate at which the corresponding particles are produced when very few of them are present, and also to the rate at which their phase space…

High Energy Physics - Phenomenology · Physics 2016-03-02 D. Bodeker , M. Sangel , M. Wormann

The high-temperature limit of Standard Model generated by the contractions of gauge groups is discussed. Contraction parameters of gauge group $SU(2)$ of Electroweak Model and gauge group $SU(3)$ of Quantum Chromodynamics are taken…

General Physics · Physics 2016-04-13 Nikolai A. Gromov

The evolution of properties and interactions of elementary particles is described, beginning with the Planck scale of $10^{19}$ GeV. The description is based on the hypothesis that high-temperature (high-energy) limit of the Standard Model…

High Energy Physics - Phenomenology · Physics 2021-05-31 N. A. Gromov

The properties of elementary particles and their interactions at different stages of the evolution of the Universe, starting with the Planck energy $ 10 ^{19} $ GeV, are presented. We assume that the Standard Model gauge group becomes…

General Physics · Physics 2021-09-01 Nikolai A. Gromov

The Hagedorn regime of string theory is usually understood as an equilibrium limiting phenomenon: the exponential growth of the density of states makes the canonical partition function singular at the Hagedorn temperature, while in the…

High Energy Physics - Theory · Physics 2026-05-08 Cesar Damian , Oscar Loaiza-Brito

Quick chemical equilibration times of hadrons within a hadron gas are explained dynamically using Hagedorn states, which drive particles into equilibrium close to the critical temperature. Within this scheme master equations are employed…

Nuclear Theory · Physics 2014-10-29 J. Noronha-Hostler , Carsten Greiner , Igor Shovkovy

Hagedorn states are characterized by being very massive hadron-like resonances and by not being limited to quantum numbers of known hadrons. To generate such a zoo of different Hagedorn states, a covariantly formulated bootstrap equation is…

High Energy Physics - Phenomenology · Physics 2014-10-15 M. Beitel , K. Gallmeister , C. Greiner

We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

Equilibrium properties of infinite relativistic hadron matter are investigated using the Ultrarelativistic Quantum Molecular Dynamics (UrQMD) model. The simulations are performed in a box with periodic boundary conditions. Equilibration…

Hagedorn states (HS) are a tool to model the hadronization process which occurs in the phase transition region between the quark gluon plasma (QGP) and the hadron resonance gas (HRG). These states are believed to appear near the Hagedorn…

High Energy Physics - Phenomenology · Physics 2016-02-17 M. Beitel , K. Gallmeister , C. Greiner
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