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We calculate the equation of state of a gas of strings at high density in a large toroidal universe, and use it to determine the cosmological evolution of background metric and dilaton fields in the entire large radius Hagedorn regime, (ln…

High Energy Physics - Theory · Physics 2008-09-26 Dimitri Skliros , Mark Hindmarsh

The computation of the microcanonical density of states for a string gas in a finite volume needs a one by one count because of the discrete nature of the spectrum. We present a way to do it using geometrical arguments in phase space. We…

High Energy Physics - Theory · Physics 2016-08-15 Marco Laucelli Meana , M. A. R. Osorio , Jesús Puente Peñalba

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

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

This work demonstrates that a superstring extended density matrix can be defined at finite temperature. This enables the calculation of the extended entanglement entropy between string coordinates. Using a real-time approach, the…

High Energy Physics - Theory · Physics 2025-07-09 Daniel Luiz Nedel

We revisit the study of string theory close to the Hagedorn temperature with the aim towards cosmological applications. We consider interactions of open and closed strings in a gas of D$p-$branes, and/or one isolated D$p$-brane, in an…

High Energy Physics - Theory · Physics 2024-03-25 Andrew R. Frey , Ratul Mahanta , Anshuman Maharana , Francesco Muia , Fernando Quevedo , Gonzalo Villa

The thermodynamics of a gas of strings and D-branes near the Hagedorn transition is described by a coupled set of Boltzmann equations for weakly interacting open and closed long strings. The resulting distributions are dominated by the open…

High Energy Physics - Theory · Physics 2008-11-26 Sangmin Lee , Larus Thorlacius

The high temperature behaviour of the open bosonic string free energy in the space $S^1 \otimes H^N$ with vanishingly small curvature is investigated. The leading term of the high temperature expansion of the one-loop free energy, near the…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Btysenko , S. D. Odintsov , S. Zerbini

We show that the entropy of de Sitter space in any dimension can be understood as the entropy of a highly excited string located near the horizon. The string tension is renormalized to $T \sim \Lambda$ due to the large gravitational…

High Energy Physics - Theory · Physics 2007-05-23 Edi Halyo

The high-temperature expansion for closed superstring one-loop free energy is studied. The Laurent series representation is obtained and its sum is analytically continued in order to investigate the nature of the critical (Hagedorn)…

High Energy Physics - Theory · Physics 2009-10-28 S. Dusini , S. Zerbini

Strings at T ~ T_c are known to be subject to the so-called Hagedorn phenomenon, in which a string's entropy (times T) and energy cancel each other and result in the evolution of the string into highly excited states, or "string balls".…

High Energy Physics - Phenomenology · Physics 2014-07-30 Tigran Kalaydzhyan , Edward Shuryak

We consider closed type II and orientifold backgrounds where supersymmetry is spontaneously broken by asymmetric geometrical fluxes. We show that these can be used to describe thermal ensembles with chemical potentials associated to…

High Energy Physics - Theory · Physics 2008-12-18 C. Angelantonj , C. Kounnas , H. Partouche , N. Toumbas

The finite temperature physics of the gas of elastic quantum strings as introduced in J. Zaanen, Phys. Rev. Lett. 84, 753 is investigated. This model is inspired on the stripes in the high Tc superconductors. We analyze in detail how the…

Strongly Correlated Electrons · Physics 2016-08-31 S. I. Mukhin , W. van Saarloos , J. Zaanen

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

We discuss some aspects of the behaviour of a string gas at the Hagedorn temperature from a Euclidean point of view. Using AdS space as an infrared regulator, the Hagedorn tachyon can be effectively quasi-localized and its dynamics…

High Energy Physics - Theory · Physics 2009-11-07 J. L. F. Barbon , E. Rabinovici

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 recast the study of a closed string gas in a toroidal container in the physical situation in which the single string density of states is independent of the volume because energy density is very high. This includes the gas for the well…

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

We study the microcanonical description of string gases in the presence of D-branes. We obtain exact expressions for the single string density of states and draw the regions in phase space where asymptotic approximations are valid. We are…

High Energy Physics - Theory · Physics 2007-05-23 Marco Laucelli Meana , Jesús Puente Peñalba

We study the thermodynamics of open superstrings in the presence of $p$-dimensional D-branes. We get some finite temperature dualities relating the one-loop canonical free energy of open strings to the self-energy of D-branes at dual…

High Energy Physics - Theory · Physics 2009-10-30 M. A. Vazquez-Mozo

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
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