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Using the supergravity dual and the plane-wave limit as a guide, we conjecture the asymptotic large coupling form of the Hagedorn temperature for planar $\mathcal{N}=4$ super Yang-Mills to order $1/\sqrt{\lambda}$. This is two orders beyond…

High Energy Physics - Theory · Physics 2023-06-28 Simon Ekhammar , Joseph A. Minahan , Charles Thull

We match the Hagedorn/deconfinement temperature of planar N=4 super Yang-Mills (SYM) on R x S^3 to the Hagedorn temperature of string theory on AdS_5 x S^5. The match is done in a near-critical region where both gauge theory and string…

High Energy Physics - Theory · Physics 2008-11-26 Troels Harmark , Marta Orselli

We match the Hagedorn/deconfinement temperature of planar N=4 super Yang-Mills (SYM) on R x S^3 to the Hagedorn temperature of string theory on AdS_5 x S^5. The match is done in a near-critical region where both gauge theory and string…

High Energy Physics - Theory · Physics 2008-11-26 Troels Harmark , Kristjan R. Kristjansson , Marta Orselli

We describe how to calculate the Hagedorn temperature of $\mathcal{N}=4$ SYM theory and type IIB superstring theory on $AdS_5\times S^5$ via the Quantum Spectral Curve (QSC) -- providing further details on our previous letters 1706.03074…

High Energy Physics - Theory · Physics 2022-08-24 Troels Harmark , Matthias Wilhelm

We discuss the high temperature behaviour of IIB strings in the maximally symmetric plane wave background, and show that there is a Hagedorn temperature. We discuss the map between strings in the pp-wave background and the dual…

High Energy Physics - Theory · Physics 2011-07-19 Brian R. Greene , Koenraad Schalm , Gary Shiu

We consider large-N confining gauge theories with a Hagedorn density of states. In such theories the potential between a pair of colour-singlet sources may diverge at a critical distance r_c = 1/ T_H. We consider, in particular, pure N=1…

High Energy Physics - Theory · Physics 2008-11-26 Adi Armoni , Timothy J. Hollowood

We consider the critical behavior for a string theory near the Hagedorn temperature. We use the factorization of the worldsheet to isolate the Hagedorn divergences at all genera. We show that the Hagedorn divergences can be resummed by…

High Energy Physics - Theory · Physics 2010-10-27 Mauro Brigante , Guido Festuccia , Hong Liu

We discuss interacting, closed, bosonic and superstrings in thermal equilibrium at temperatures close to the Hagedorn temperature in flat space. We calculate S-matrix elements of the strings at the Hagedorn temperature and use them to…

High Energy Physics - Theory · Physics 2021-04-28 Ram Brustein , Yoav Zigdon

Building on the recently established connection between the Hagedorn temperature and integrability [Phys.Rev.Lett. 120 (2018) no.7, 071605], we show how the Quantum Spectral Curve formalism can be used to calculate the Hagedorn temperature…

High Energy Physics - Theory · Physics 2021-09-23 Troels Harmark , Matthias Wilhelm

N=4 Super Yang-Mills theory supplies us with a non-Abelian 4D gauge theory with a meaningful perturbation expansion, both in the UV and in the IR. We calculate the free energy on a 3-sphere and observe a deconfinement transition for large N…

High Energy Physics - Theory · Physics 2008-11-26 Bo Sundborg

The thermodynamics of supersymmetric Yang-Mills theories is studied by computing the two-loop correction to the canonical free energy and to the equation of state for theories with 16, 8 and 4 supercharges in any dimension $4\leq d\leq 10$,…

High Energy Physics - Theory · Physics 2016-08-25 M. A. Vazquez-Mozo

We present a formulation of N=(1,1) super Yang-Mills theory in 1+1 dimensions at finite temperature. The partition function is constructed by finding a numerical approximation to the entire spectrum. We solve numerically for the spectrum…

High Energy Physics - Theory · Physics 2009-11-10 John R. Hiller , Yiannis Proestos , Stephen Pinsky , Nathan Salwen

We use the quantum spectral curve to compute the Hagedorn temperature for ABJM theory in terms of the interpolating function $h(\lambda)$. At weak coupling we compute this temperature up to eight-loop order, showing that it matches the…

High Energy Physics - Theory · Physics 2023-07-14 Simon Ekhammar , Joseph A. Minahan , Charles Thull

The thermodynamics of type IIB superstring theory in the maximally supersymmetric plane wave background is studied. We compute the thermodynamic partition function for non-interacting strings exactly and the result differs slightly from…

High Energy Physics - Theory · Physics 2009-11-10 Gianluca Grignani , Marta Orselli , Gordon W. Semenoff , Diego Trancanelli

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 find a decoupling limit of planar N=4 super Yang-Mills (SYM) on R x S^3 in which it becomes equivalent to the ferromagnetic XXX_{1/2} Heisenberg spin chain in an external magnetic field. The decoupling limit generalizes the one found in…

High Energy Physics - Theory · Physics 2010-10-27 Troels Harmark , Kristjan R. Kristjansson , Marta Orselli

Using an effective description of the thermal partition function for SU(2) sector of N = 4 super Yang-Mills theory in terms of interacting random walks we compute the partition function in planar limit as well as give the leading non-planar…

High Energy Physics - Theory · Physics 2007-05-23 Corneliu Sochichiu

We study the Hagedorn temperature $T_H$ of strongly coupled quantum field theories admitting a holographic string or M-theory description in various regimes and scenarios. In the first part of the paper we propose a ``thermal scalar''…

High Energy Physics - Theory · Physics 2025-04-18 Francesco Bigazzi , Tommaso Canneti , Aldo L. Cotrone , José Manuel Penín

We study weakly coupled SU(N) N = 4 super Yang-Mills theory on R x S^3 at infinite N, which has interesting thermodynamics, including a Hagedorn transition, even at zero Yang-Mills coupling. We calculate the exact one-loop partition…

High Energy Physics - Theory · Physics 2009-11-10 Marcus Spradlin , Anastasia Volovich

We consider N=(1,1) super Yang-Mills theory in 1+1 dimensions with fundamentals at large-N_c. A Chern-Simons term is included to give mass to the adjoint partons. Using the spectrum of the theory, we calculate thermodynamic properties of…

High Energy Physics - Theory · Physics 2008-11-26 John R. Hiller , Stephen Pinsky , Yiannis Proestos , Nathan Salwen , Uwe Trittmann
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