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Related papers: On the High-Temperature Behaviour of the Closed Su…

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Using a Laurent series representation for the (super)string one-loop free energy, an explicit form for the analytic continuation of the Laurent series beyond the critical (Hagedorn) temperature is obtained. As an additional result, a…

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

Open superstrings at non-zero temperature are considered. A novel representation for the free energy (Laurent series representation) is constructed. It is shown that the Hagedorn temperature arises in this formalism as the convergence…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Bytsenko , E. Elizalde , S. D. Odintsov nd S. Zerbini

A novel representation ---in terms of a Laurent series--- for the free energy of string theory at non-zero temperature is constructed. The examples of open bosonic, open supersymmetric and closed bosonic strings are studied in detail. In…

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

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

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 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 compute the one-loop contribution to the free energy in eleven-dimensional supergravity, with the eleventh dimension compactified on a circle of radius $R_{11}$. We find a finite result, which, in a small radius expansion, has the form…

High Energy Physics - Theory · Physics 2009-11-07 J. G. Russo

Perturbative heterotic string theory develops a single complex tachyonic mode beyond the Hagedorn temperature. We calculate the quartic effective potential for this tachyonic mode at the critical temperature. Equivalently, we determine the…

High Energy Physics - Theory · Physics 2011-10-20 Waldemar Schulgin , Jan Troost

According to the standard prescriptions, zero-temperature string theories can be extended to finite temperature by compactifying their time directions on a so-called "thermal circle" and implementing certain orbifold twists. However, the…

High Energy Physics - Theory · Physics 2015-06-05 Keith R. Dienes , Michael Lennek , Menika Sharma

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 simplest superstring bit model at finite N using the characters of the SU(N) group. We obtain exact, analytic expressions for small N partition functions and Gaussian approximations for them in the high temperature limit for…

High Energy Physics - Theory · Physics 2017-10-17 Sourav Raha

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

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 calculate emission rates of various bosonic/fermionic soft massless states of open/closed superstring from an ensemble of a highly excited open/closed superstring in the flat background. The resulting spectrum shows thermal distributions…

High Energy Physics - Theory · Physics 2013-06-12 Shoichi Kawamoto , Toshihiro Matsuo

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

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

We consider the entanglement of closed bosonic strings intersecting the event horizon of a Rindler spacetime and, by using some simplified (rather semiclassical) arguments and some elements of the string field theory, we show the existence…

High Energy Physics - Theory · Physics 2008-11-26 M. C. Batoni Abdalla , M. Botta Cantcheff , D. L. Nedel

These are lecture notes for the 1992 Erice Workshop on String Quantum Gravity and Physics at the Planck Energy Scale. In this talk a review of earlier work on finite temperature strings was presented. Several topics were covered, including…

High Energy Physics - Theory · Physics 2007-05-23 Mark J. Bowick

The complete form of the high-temperature expansion of the one-loop contribution to the free energy of a scalar field on a stationary gravitational background is derived. The explicit expressions for the divergent and finite parts of the…

General Relativity and Quantum Cosmology · Physics 2013-04-23 I. S. Kalinichenko , P. O. Kazinski

We give examples of modeling the string free energy whose behavior mimics that of QCD: a power-law at high temperature and an exponential decrease at low temperature. Although the effective description is in terms of strings, no limiting…

High Energy Physics - Theory · Physics 2009-03-31 Oleg Andreev
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